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Finding the Fourth Proportional to 6,663.40, 9,991.14 and 2,280.76

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Solution

The fourth proportional to 6,663.40, 9,991.14 and 2,280.76 is: 3,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.40 : 9,991.14 = 2,280.76 : x
  2. Step 2: Convert to fraction form
    6,663.40/9,991.14 = 2,280.76/x
  3. Step 3: Cross multiply
    6,663.40x = 9,991.14 × 2,280.76
  4. Step 4: Simplify right side
    6,663.40x = 22,787,392.47
  5. Step 5: Solve for x
    x = 22,787,392.47/6,663.40
  6. Step 6: Final answer
    x = 3,419.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.