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Finding the Fourth Proportional to 8,147.14, 11,243.10 and 4,421.14

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Solution

The fourth proportional to 8,147.14, 11,243.10 and 4,421.14 is: 6,101.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.14 : 11,243.10 = 4,421.14 : x
  2. Step 2: Convert to fraction form
    8,147.14/11,243.10 = 4,421.14/x
  3. Step 3: Cross multiply
    8,147.14x = 11,243.10 × 4,421.14
  4. Step 4: Simplify right side
    8,147.14x = 49,707,319.13
  5. Step 5: Solve for x
    x = 49,707,319.13/8,147.14
  6. Step 6: Final answer
    x = 6,101.20

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Half scale
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Double scale
Find fourth proportional to 8,148.14, 11,244.48 and 4,422.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.