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Finding the Fourth Proportional to 16,411.68, 22,643.22 and 9,697.92

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Solution

The fourth proportional to 16,411.68, 22,643.22 and 9,697.92 is: 13,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.68 : 22,643.22 = 9,697.92 : x
  2. Step 2: Convert to fraction form
    16,411.68/22,643.22 = 9,697.92/x
  3. Step 3: Cross multiply
    16,411.68x = 22,643.22 × 9,697.92
  4. Step 4: Simplify right side
    16,411.68x = 219,592,136.10
  5. Step 5: Solve for x
    x = 219,592,136.10/16,411.68
  6. Step 6: Final answer
    x = 13,380.24

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