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Finding the Fourth Proportional to 10,874.91, 15,000.35 and 7,470.30

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Solution

The fourth proportional to 10,874.91, 15,000.35 and 7,470.30 is: 10,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.91 : 15,000.35 = 7,470.30 : x
  2. Step 2: Convert to fraction form
    10,874.91/15,000.35 = 7,470.30/x
  3. Step 3: Cross multiply
    10,874.91x = 15,000.35 × 7,470.30
  4. Step 4: Simplify right side
    10,874.91x = 112,057,077.25
  5. Step 5: Solve for x
    x = 112,057,077.25/10,874.91
  6. Step 6: Final answer
    x = 10,304.18

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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.