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Finding the Fourth Proportional to 20,045.74, 30,092.92 and 9,382.30

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Solution

The fourth proportional to 20,045.74, 30,092.92 and 9,382.30 is: 14,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.74 : 30,092.92 = 9,382.30 : x
  2. Step 2: Convert to fraction form
    20,045.74/30,092.92 = 9,382.30/x
  3. Step 3: Cross multiply
    20,045.74x = 30,092.92 × 9,382.30
  4. Step 4: Simplify right side
    20,045.74x = 282,340,803.32
  5. Step 5: Solve for x
    x = 282,340,803.32/20,045.74
  6. Step 6: Final answer
    x = 14,084.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.