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Finding the Fourth Proportional to 28,597, 42,902 and 10,129

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Solution

The fourth proportional to 28,597, 42,902 and 10,129 is: 15,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,597 : 42,902 = 10,129 : x
  2. Step 2: Convert to fraction form
    28,597/42,902 = 10,129/x
  3. Step 3: Cross multiply
    28,597x = 42,902 × 10,129
  4. Step 4: Simplify right side
    28,597x = 434,554,358
  5. Step 5: Solve for x
    x = 434,554,358/28,597
  6. Step 6: Final answer
    x = 15,195.80

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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.