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Finding the Fourth Proportional to 7,146.77, 9,860.13 and 4,160.19

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Solution

The fourth proportional to 7,146.77, 9,860.13 and 4,160.19 is: 5,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.77 : 9,860.13 = 4,160.19 : x
  2. Step 2: Convert to fraction form
    7,146.77/9,860.13 = 4,160.19/x
  3. Step 3: Cross multiply
    7,146.77x = 9,860.13 × 4,160.19
  4. Step 4: Simplify right side
    7,146.77x = 41,020,051.20
  5. Step 5: Solve for x
    x = 41,020,051.20/7,146.77
  6. Step 6: Final answer
    x = 5,739.67

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Half scale
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Double scale
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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.