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Finding the Fourth Proportional to 19,540.80, 29,320.80 and 14,859.20

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Solution

The fourth proportional to 19,540.80, 29,320.80 and 14,859.20 is: 22,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.80 : 29,320.80 = 14,859.20 : x
  2. Step 2: Convert to fraction form
    19,540.80/29,320.80 = 14,859.20/x
  3. Step 3: Cross multiply
    19,540.80x = 29,320.80 × 14,859.20
  4. Step 4: Simplify right side
    19,540.80x = 435,683,631.36
  5. Step 5: Solve for x
    x = 435,683,631.36/19,540.80
  6. Step 6: Final answer
    x = 22,296.10

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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.