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Finding the Fourth Proportional to 28,132.50, 38,827.71 and 16,954.50

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Solution

The fourth proportional to 28,132.50, 38,827.71 and 16,954.50 is: 23,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,132.50 : 38,827.71 = 16,954.50 : x
  2. Step 2: Convert to fraction form
    28,132.50/38,827.71 = 16,954.50/x
  3. Step 3: Cross multiply
    28,132.50x = 38,827.71 × 16,954.50
  4. Step 4: Simplify right side
    28,132.50x = 658,304,409.20
  5. Step 5: Solve for x
    x = 658,304,409.20/28,132.50
  6. Step 6: Final answer
    x = 23,400.14

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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.