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Finding the Fourth Proportional to 3,966.61, 5,461.43 and 3,367.91

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Solution

The fourth proportional to 3,966.61, 5,461.43 and 3,367.91 is: 4,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.61 : 5,461.43 = 3,367.91 : x
  2. Step 2: Convert to fraction form
    3,966.61/5,461.43 = 3,367.91/x
  3. Step 3: Cross multiply
    3,966.61x = 5,461.43 × 3,367.91
  4. Step 4: Simplify right side
    3,966.61x = 18,393,630.71
  5. Step 5: Solve for x
    x = 18,393,630.71/3,966.61
  6. Step 6: Final answer
    x = 4,637.12

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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.