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Finding the Fourth Proportional to 15,151.80, 20,905.92 and 9,182.10

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Solution

The fourth proportional to 15,151.80, 20,905.92 and 9,182.10 is: 12,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.80 : 20,905.92 = 9,182.10 : x
  2. Step 2: Convert to fraction form
    15,151.80/20,905.92 = 9,182.10/x
  3. Step 3: Cross multiply
    15,151.80x = 20,905.92 × 9,182.10
  4. Step 4: Simplify right side
    15,151.80x = 191,960,248.03
  5. Step 5: Solve for x
    x = 191,960,248.03/15,151.80
  6. Step 6: Final answer
    x = 12,669.14

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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.