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Finding the Fourth Proportional to 30,969.73, 42,737.25 and 17,542.23

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Solution

The fourth proportional to 30,969.73, 42,737.25 and 17,542.23 is: 24,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.73 : 42,737.25 = 17,542.23 : x
  2. Step 2: Convert to fraction form
    30,969.73/42,737.25 = 17,542.23/x
  3. Step 3: Cross multiply
    30,969.73x = 42,737.25 × 17,542.23
  4. Step 4: Simplify right side
    30,969.73x = 749,706,455.38
  5. Step 5: Solve for x
    x = 749,706,455.38/30,969.73
  6. Step 6: Final answer
    x = 24,207.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.