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Finding the Fourth Proportional to 22,989, 34,458.98 and 13,107

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Solution

The fourth proportional to 22,989, 34,458.98 and 13,107 is: 19,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,989 : 34,458.98 = 13,107 : x
  2. Step 2: Convert to fraction form
    22,989/34,458.98 = 13,107/x
  3. Step 3: Cross multiply
    22,989x = 34,458.98 × 13,107
  4. Step 4: Simplify right side
    22,989x = 451,653,785.33
  5. Step 5: Solve for x
    x = 451,653,785.33/22,989
  6. Step 6: Final answer
    x = 19,646.52

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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.