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Finding the Fourth Proportional to 27,286.53, 40,915.95 and 13,957.48

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Solution

The fourth proportional to 27,286.53, 40,915.95 and 13,957.48 is: 20,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,286.53 : 40,915.95 = 13,957.48 : x
  2. Step 2: Convert to fraction form
    27,286.53/40,915.95 = 13,957.48/x
  3. Step 3: Cross multiply
    27,286.53x = 40,915.95 × 13,957.48
  4. Step 4: Simplify right side
    27,286.53x = 571,083,553.81
  5. Step 5: Solve for x
    x = 571,083,553.81/27,286.53
  6. Step 6: Final answer
    x = 20,929.14

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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.