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Finding the Fourth Proportional to 38,511, 57,766.50 and 13,887

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Solution

The fourth proportional to 38,511, 57,766.50 and 13,887 is: 20,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511 : 57,766.50 = 13,887 : x
  2. Step 2: Convert to fraction form
    38,511/57,766.50 = 13,887/x
  3. Step 3: Cross multiply
    38,511x = 57,766.50 × 13,887
  4. Step 4: Simplify right side
    38,511x = 802,203,385.50
  5. Step 5: Solve for x
    x = 802,203,385.50/38,511
  6. Step 6: Final answer
    x = 20,830.50

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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.