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Finding the Fourth Proportional to 12,384, 17,092.08 and 7,416

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Solution

The fourth proportional to 12,384, 17,092.08 and 7,416 is: 10,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 17,092.08 = 7,416 : x
  2. Step 2: Convert to fraction form
    12,384/17,092.08 = 7,416/x
  3. Step 3: Cross multiply
    12,384x = 17,092.08 × 7,416
  4. Step 4: Simplify right side
    12,384x = 126,754,865.28
  5. Step 5: Solve for x
    x = 126,754,865.28/12,384
  6. Step 6: Final answer
    x = 10,235.37

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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.