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Finding the Fourth Proportional to 3,695.66, 5,541.68 and 1,229.64

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Solution

The fourth proportional to 3,695.66, 5,541.68 and 1,229.64 is: 1,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.66 : 5,541.68 = 1,229.64 : x
  2. Step 2: Convert to fraction form
    3,695.66/5,541.68 = 1,229.64/x
  3. Step 3: Cross multiply
    3,695.66x = 5,541.68 × 1,229.64
  4. Step 4: Simplify right side
    3,695.66x = 6,814,271.40
  5. Step 5: Solve for x
    x = 6,814,271.40/3,695.66
  6. Step 6: Final answer
    x = 1,843.86

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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.