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Finding the Fourth Proportional to 3,640.08, 5,030.12 and 3,101.42

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Solution

The fourth proportional to 3,640.08, 5,030.12 and 3,101.42 is: 4,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.08 : 5,030.12 = 3,101.42 : x
  2. Step 2: Convert to fraction form
    3,640.08/5,030.12 = 3,101.42/x
  3. Step 3: Cross multiply
    3,640.08x = 5,030.12 × 3,101.42
  4. Step 4: Simplify right side
    3,640.08x = 15,600,474.11
  5. Step 5: Solve for x
    x = 15,600,474.11/3,640.08
  6. Step 6: Final answer
    x = 4,285.75

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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.