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Finding the Fourth Proportional to 12,665, 17,478.24 and 7,076

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Solution

The fourth proportional to 12,665, 17,478.24 and 7,076 is: 9,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665 : 17,478.24 = 7,076 : x
  2. Step 2: Convert to fraction form
    12,665/17,478.24 = 7,076/x
  3. Step 3: Cross multiply
    12,665x = 17,478.24 × 7,076
  4. Step 4: Simplify right side
    12,665x = 123,676,026.24
  5. Step 5: Solve for x
    x = 123,676,026.24/12,665
  6. Step 6: Final answer
    x = 9,765.18

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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.