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Finding the Fourth Proportional to 3,661, 5,046.24 and 2,862.88

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Solution

The fourth proportional to 3,661, 5,046.24 and 2,862.88 is: 3,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,046.24 = 2,862.88 : x
  2. Step 2: Convert to fraction form
    3,661/5,046.24 = 2,862.88/x
  3. Step 3: Cross multiply
    3,661x = 5,046.24 × 2,862.88
  4. Step 4: Simplify right side
    3,661x = 14,446,779.57
  5. Step 5: Solve for x
    x = 14,446,779.57/3,661
  6. Step 6: Final answer
    x = 3,946.13

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1.5x scale

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.