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Finding the Fourth Proportional to 12,711.76, 17,534.96 and 7,406

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Solution

The fourth proportional to 12,711.76, 17,534.96 and 7,406 is: 10,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.76 : 17,534.96 = 7,406 : x
  2. Step 2: Convert to fraction form
    12,711.76/17,534.96 = 7,406/x
  3. Step 3: Cross multiply
    12,711.76x = 17,534.96 × 7,406
  4. Step 4: Simplify right side
    12,711.76x = 129,863,913.76
  5. Step 5: Solve for x
    x = 129,863,913.76/12,711.76
  6. Step 6: Final answer
    x = 10,216.05

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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.