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Finding the Fourth Proportional to 4,155.66, 6,230.04 and 1,691.64

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Solution

The fourth proportional to 4,155.66, 6,230.04 and 1,691.64 is: 2,536.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.66 : 6,230.04 = 1,691.64 : x
  2. Step 2: Convert to fraction form
    4,155.66/6,230.04 = 1,691.64/x
  3. Step 3: Cross multiply
    4,155.66x = 6,230.04 × 1,691.64
  4. Step 4: Simplify right side
    4,155.66x = 10,538,984.87
  5. Step 5: Solve for x
    x = 10,538,984.87/4,155.66
  6. Step 6: Final answer
    x = 2,536.06

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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.