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Finding the Fourth Proportional to 10,009.52, 15,001.98 and 5,617.76

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Solution

The fourth proportional to 10,009.52, 15,001.98 and 5,617.76 is: 8,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.52 : 15,001.98 = 5,617.76 : x
  2. Step 2: Convert to fraction form
    10,009.52/15,001.98 = 5,617.76/x
  3. Step 3: Cross multiply
    10,009.52x = 15,001.98 × 5,617.76
  4. Step 4: Simplify right side
    10,009.52x = 84,277,523.16
  5. Step 5: Solve for x
    x = 84,277,523.16/10,009.52
  6. Step 6: Final answer
    x = 8,419.74

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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.