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Finding the Fourth Proportional to 7,070.73, 9,757.22 and 4,238.21

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Solution

The fourth proportional to 7,070.73, 9,757.22 and 4,238.21 is: 5,848.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.73 : 9,757.22 = 4,238.21 : x
  2. Step 2: Convert to fraction form
    7,070.73/9,757.22 = 4,238.21/x
  3. Step 3: Cross multiply
    7,070.73x = 9,757.22 × 4,238.21
  4. Step 4: Simplify right side
    7,070.73x = 41,353,147.38
  5. Step 5: Solve for x
    x = 41,353,147.38/7,070.73
  6. Step 6: Final answer
    x = 5,848.50

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Half scale
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Double scale
Find fourth proportional to 7,071.73, 9,758.60 and 4,239.21
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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.