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Finding the Fourth Proportional to 12,344.47, 17,029.87 and 7,866.59

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Solution

The fourth proportional to 12,344.47, 17,029.87 and 7,866.59 is: 10,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.47 : 17,029.87 = 7,866.59 : x
  2. Step 2: Convert to fraction form
    12,344.47/17,029.87 = 7,866.59/x
  3. Step 3: Cross multiply
    12,344.47x = 17,029.87 × 7,866.59
  4. Step 4: Simplify right side
    12,344.47x = 133,966,922.35
  5. Step 5: Solve for x
    x = 133,966,922.35/12,344.47
  6. Step 6: Final answer
    x = 10,852.39

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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.