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Finding the Fourth Proportional to 12,754, 17,602.14 and 7,165

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Solution

The fourth proportional to 12,754, 17,602.14 and 7,165 is: 9,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754 : 17,602.14 = 7,165 : x
  2. Step 2: Convert to fraction form
    12,754/17,602.14 = 7,165/x
  3. Step 3: Cross multiply
    12,754x = 17,602.14 × 7,165
  4. Step 4: Simplify right side
    12,754x = 126,119,333.10
  5. Step 5: Solve for x
    x = 126,119,333.10/12,754
  6. Step 6: Final answer
    x = 9,888.61

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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.