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Finding the Fourth Proportional to 21,492.68, 32,248.26 and 11,639

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Solution

The fourth proportional to 21,492.68, 32,248.26 and 11,639 is: 17,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.68 : 32,248.26 = 11,639 : x
  2. Step 2: Convert to fraction form
    21,492.68/32,248.26 = 11,639/x
  3. Step 3: Cross multiply
    21,492.68x = 32,248.26 × 11,639
  4. Step 4: Simplify right side
    21,492.68x = 375,337,498.14
  5. Step 5: Solve for x
    x = 375,337,498.14/21,492.68
  6. Step 6: Final answer
    x = 17,463.50

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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.