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Finding the Fourth Proportional to 25,677, 38,515.50 and 9,261

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Solution

The fourth proportional to 25,677, 38,515.50 and 9,261 is: 13,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677 : 38,515.50 = 9,261 : x
  2. Step 2: Convert to fraction form
    25,677/38,515.50 = 9,261/x
  3. Step 3: Cross multiply
    25,677x = 38,515.50 × 9,261
  4. Step 4: Simplify right side
    25,677x = 356,692,045.50
  5. Step 5: Solve for x
    x = 356,692,045.50/25,677
  6. Step 6: Final answer
    x = 13,891.50

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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.