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Finding the Fourth Proportional to 11,398.40, 17,065.20 and 10,102.40

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Solution

The fourth proportional to 11,398.40, 17,065.20 and 10,102.40 is: 15,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.40 : 17,065.20 = 10,102.40 : x
  2. Step 2: Convert to fraction form
    11,398.40/17,065.20 = 10,102.40/x
  3. Step 3: Cross multiply
    11,398.40x = 17,065.20 × 10,102.40
  4. Step 4: Simplify right side
    11,398.40x = 172,399,476.48
  5. Step 5: Solve for x
    x = 172,399,476.48/11,398.40
  6. Step 6: Final answer
    x = 15,124.88

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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.