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Finding the Fourth Proportional to 12,564.39, 17,338.92 and 7,851.39

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Solution

The fourth proportional to 12,564.39, 17,338.92 and 7,851.39 is: 10,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.39 : 17,338.92 = 7,851.39 : x
  2. Step 2: Convert to fraction form
    12,564.39/17,338.92 = 7,851.39/x
  3. Step 3: Cross multiply
    12,564.39x = 17,338.92 × 7,851.39
  4. Step 4: Simplify right side
    12,564.39x = 136,134,623.10
  5. Step 5: Solve for x
    x = 136,134,623.10/12,564.39
  6. Step 6: Final answer
    x = 10,834.96

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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.