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Finding the Fourth Proportional to 16,691, 25,026.78 and 7,330.64

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Solution

The fourth proportional to 16,691, 25,026.78 and 7,330.64 is: 10,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,691 : 25,026.78 = 7,330.64 : x
  2. Step 2: Convert to fraction form
    16,691/25,026.78 = 7,330.64/x
  3. Step 3: Cross multiply
    16,691x = 25,026.78 × 7,330.64
  4. Step 4: Simplify right side
    16,691x = 183,462,314.54
  5. Step 5: Solve for x
    x = 183,462,314.54/16,691
  6. Step 6: Final answer
    x = 10,991.69

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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.