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Finding the Fourth Proportional to 3,103.27, 4,655.85 and 912.02

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Solution

The fourth proportional to 3,103.27, 4,655.85 and 912.02 is: 1,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.27 : 4,655.85 = 912.02 : x
  2. Step 2: Convert to fraction form
    3,103.27/4,655.85 = 912.02/x
  3. Step 3: Cross multiply
    3,103.27x = 4,655.85 × 912.02
  4. Step 4: Simplify right side
    3,103.27x = 4,246,201.62
  5. Step 5: Solve for x
    x = 4,246,201.62/3,103.27
  6. Step 6: Final answer
    x = 1,368.30

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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.