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Finding the Fourth Proportional to 21,658.98, 32,476.32 and 10,542

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Solution

The fourth proportional to 21,658.98, 32,476.32 and 10,542 is: 15,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.98 : 32,476.32 = 10,542 : x
  2. Step 2: Convert to fraction form
    21,658.98/32,476.32 = 10,542/x
  3. Step 3: Cross multiply
    21,658.98x = 32,476.32 × 10,542
  4. Step 4: Simplify right side
    21,658.98x = 342,365,365.44
  5. Step 5: Solve for x
    x = 342,365,365.44/21,658.98
  6. Step 6: Final answer
    x = 15,807.09

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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.