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Finding the Fourth Proportional to 15,781.88, 23,675.70 and 12,251

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Solution

The fourth proportional to 15,781.88, 23,675.70 and 12,251 is: 18,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.88 : 23,675.70 = 12,251 : x
  2. Step 2: Convert to fraction form
    15,781.88/23,675.70 = 12,251/x
  3. Step 3: Cross multiply
    15,781.88x = 23,675.70 × 12,251
  4. Step 4: Simplify right side
    15,781.88x = 290,051,000.70
  5. Step 5: Solve for x
    x = 290,051,000.70/15,781.88
  6. Step 6: Final answer
    x = 18,378.74

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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.