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Finding the Fourth Proportional to 19,681.20, 29,449.80 and 14,497.20

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Solution

The fourth proportional to 19,681.20, 29,449.80 and 14,497.20 is: 21,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.20 : 29,449.80 = 14,497.20 : x
  2. Step 2: Convert to fraction form
    19,681.20/29,449.80 = 14,497.20/x
  3. Step 3: Cross multiply
    19,681.20x = 29,449.80 × 14,497.20
  4. Step 4: Simplify right side
    19,681.20x = 426,939,640.56
  5. Step 5: Solve for x
    x = 426,939,640.56/19,681.20
  6. Step 6: Final answer
    x = 21,692.76

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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.