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Finding the Fourth Proportional to 7,129.42, 9,841.30 and 6,382.02

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Solution

The fourth proportional to 7,129.42, 9,841.30 and 6,382.02 is: 8,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.42 : 9,841.30 = 6,382.02 : x
  2. Step 2: Convert to fraction form
    7,129.42/9,841.30 = 6,382.02/x
  3. Step 3: Cross multiply
    7,129.42x = 9,841.30 × 6,382.02
  4. Step 4: Simplify right side
    7,129.42x = 62,807,394.38
  5. Step 5: Solve for x
    x = 62,807,394.38/7,129.42
  6. Step 6: Final answer
    x = 8,809.61

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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.