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Finding the Fourth Proportional to 19,957.62, 29,931.84 and 10,099.02

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Solution

The fourth proportional to 19,957.62, 29,931.84 and 10,099.02 is: 15,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.62 : 29,931.84 = 10,099.02 : x
  2. Step 2: Convert to fraction form
    19,957.62/29,931.84 = 10,099.02/x
  3. Step 3: Cross multiply
    19,957.62x = 29,931.84 × 10,099.02
  4. Step 4: Simplify right side
    19,957.62x = 302,282,250.80
  5. Step 5: Solve for x
    x = 302,282,250.80/19,957.62
  6. Step 6: Final answer
    x = 15,146.21

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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.