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Finding the Fourth Proportional to 3,747.66, 5,165.67 and 3,000.30

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Solution

The fourth proportional to 3,747.66, 5,165.67 and 3,000.30 is: 4,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.66 : 5,165.67 = 3,000.30 : x
  2. Step 2: Convert to fraction form
    3,747.66/5,165.67 = 3,000.30/x
  3. Step 3: Cross multiply
    3,747.66x = 5,165.67 × 3,000.30
  4. Step 4: Simplify right side
    3,747.66x = 15,498,559.70
  5. Step 5: Solve for x
    x = 15,498,559.70/3,747.66
  6. Step 6: Final answer
    x = 4,135.53

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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.