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Finding the Fourth Proportional to 3,666, 5,498.68 and 1,585.92

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Solution

The fourth proportional to 3,666, 5,498.68 and 1,585.92 is: 2,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666 : 5,498.68 = 1,585.92 : x
  2. Step 2: Convert to fraction form
    3,666/5,498.68 = 1,585.92/x
  3. Step 3: Cross multiply
    3,666x = 5,498.68 × 1,585.92
  4. Step 4: Simplify right side
    3,666x = 8,720,466.59
  5. Step 5: Solve for x
    x = 8,720,466.59/3,666
  6. Step 6: Final answer
    x = 2,378.74

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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.