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Finding the Fourth Proportional to 16,458, 22,712.31 and 9,388.32

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Solution

The fourth proportional to 16,458, 22,712.31 and 9,388.32 is: 12,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458 : 22,712.31 = 9,388.32 : x
  2. Step 2: Convert to fraction form
    16,458/22,712.31 = 9,388.32/x
  3. Step 3: Cross multiply
    16,458x = 22,712.31 × 9,388.32
  4. Step 4: Simplify right side
    16,458x = 213,230,434.22
  5. Step 5: Solve for x
    x = 213,230,434.22/16,458
  6. Step 6: Final answer
    x = 12,956.04

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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.