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Finding the Fourth Proportional to 28,117.25, 38,801.87 and 15,542

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Solution

The fourth proportional to 28,117.25, 38,801.87 and 15,542 is: 21,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,117.25 : 38,801.87 = 15,542 : x
  2. Step 2: Convert to fraction form
    28,117.25/38,801.87 = 15,542/x
  3. Step 3: Cross multiply
    28,117.25x = 38,801.87 × 15,542
  4. Step 4: Simplify right side
    28,117.25x = 603,058,702.40
  5. Step 5: Solve for x
    x = 603,058,702.40/28,117.25
  6. Step 6: Final answer
    x = 21,448.00

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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.