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Finding the Fourth Proportional to 21,405.04, 32,096 and 9,711.88

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Solution

The fourth proportional to 21,405.04, 32,096 and 9,711.88 is: 14,562.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.04 : 32,096 = 9,711.88 : x
  2. Step 2: Convert to fraction form
    21,405.04/32,096 = 9,711.88/x
  3. Step 3: Cross multiply
    21,405.04x = 32,096 × 9,711.88
  4. Step 4: Simplify right side
    21,405.04x = 311,712,500.48
  5. Step 5: Solve for x
    x = 311,712,500.48/21,405.04
  6. Step 6: Final answer
    x = 14,562.58

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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.