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Finding the Fourth Proportional to 23,689.70, 32,690.61 and 13,611

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Solution

The fourth proportional to 23,689.70, 32,690.61 and 13,611 is: 18,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.70 : 32,690.61 = 13,611 : x
  2. Step 2: Convert to fraction form
    23,689.70/32,690.61 = 13,611/x
  3. Step 3: Cross multiply
    23,689.70x = 32,690.61 × 13,611
  4. Step 4: Simplify right side
    23,689.70x = 444,951,892.71
  5. Step 5: Solve for x
    x = 444,951,892.71/23,689.70
  6. Step 6: Final answer
    x = 18,782.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.