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Finding the Fourth Proportional to 19,546.40, 29,276.40 and 15,129.20

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Solution

The fourth proportional to 19,546.40, 29,276.40 and 15,129.20 is: 22,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.40 : 29,276.40 = 15,129.20 : x
  2. Step 2: Convert to fraction form
    19,546.40/29,276.40 = 15,129.20/x
  3. Step 3: Cross multiply
    19,546.40x = 29,276.40 × 15,129.20
  4. Step 4: Simplify right side
    19,546.40x = 442,928,510.88
  5. Step 5: Solve for x
    x = 442,928,510.88/19,546.40
  6. Step 6: Final answer
    x = 22,660.36

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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.