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Finding the Fourth Proportional to 16,478, 22,739.64 and 9,026

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Solution

The fourth proportional to 16,478, 22,739.64 and 9,026 is: 12,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478 : 22,739.64 = 9,026 : x
  2. Step 2: Convert to fraction form
    16,478/22,739.64 = 9,026/x
  3. Step 3: Cross multiply
    16,478x = 22,739.64 × 9,026
  4. Step 4: Simplify right side
    16,478x = 205,247,990.64
  5. Step 5: Solve for x
    x = 205,247,990.64/16,478
  6. Step 6: Final answer
    x = 12,455.88

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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.