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Finding the Fourth Proportional to 21,808.76, 32,705.76 and 15,238.04

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Solution

The fourth proportional to 21,808.76, 32,705.76 and 15,238.04 is: 22,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.76 : 32,705.76 = 15,238.04 : x
  2. Step 2: Convert to fraction form
    21,808.76/32,705.76 = 15,238.04/x
  3. Step 3: Cross multiply
    21,808.76x = 32,705.76 × 15,238.04
  4. Step 4: Simplify right side
    21,808.76x = 498,371,679.11
  5. Step 5: Solve for x
    x = 498,371,679.11/21,808.76
  6. Step 6: Final answer
    x = 22,851.90

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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.