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Finding the Fourth Proportional to 6,411.68, 9,600.14 and 3,327.20

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Solution

The fourth proportional to 6,411.68, 9,600.14 and 3,327.20 is: 4,981.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.68 : 9,600.14 = 3,327.20 : x
  2. Step 2: Convert to fraction form
    6,411.68/9,600.14 = 3,327.20/x
  3. Step 3: Cross multiply
    6,411.68x = 9,600.14 × 3,327.20
  4. Step 4: Simplify right side
    6,411.68x = 31,941,521.17
  5. Step 5: Solve for x
    x = 31,941,521.17/6,411.68
  6. Step 6: Final answer
    x = 4,981.77

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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.