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Finding the Fourth Proportional to 38,506.50, 57,759.75 and 13,882.50

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Solution

The fourth proportional to 38,506.50, 57,759.75 and 13,882.50 is: 20,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.50 : 57,759.75 = 13,882.50 : x
  2. Step 2: Convert to fraction form
    38,506.50/57,759.75 = 13,882.50/x
  3. Step 3: Cross multiply
    38,506.50x = 57,759.75 × 13,882.50
  4. Step 4: Simplify right side
    38,506.50x = 801,849,729.38
  5. Step 5: Solve for x
    x = 801,849,729.38/38,506.50
  6. Step 6: Final answer
    x = 20,823.75

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1.5x scale

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.