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Finding the Fourth Proportional to 38,355, 57,531.12 and 13,394.95

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Solution

The fourth proportional to 38,355, 57,531.12 and 13,394.95 is: 20,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,355 : 57,531.12 = 13,394.95 : x
  2. Step 2: Convert to fraction form
    38,355/57,531.12 = 13,394.95/x
  3. Step 3: Cross multiply
    38,355x = 57,531.12 × 13,394.95
  4. Step 4: Simplify right side
    38,355x = 770,626,475.84
  5. Step 5: Solve for x
    x = 770,626,475.84/38,355
  6. Step 6: Final answer
    x = 20,091.94

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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.