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Finding the Fourth Proportional to 3,337.66, 5,007.20 and 997.85

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Solution

The fourth proportional to 3,337.66, 5,007.20 and 997.85 is: 1,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.66 : 5,007.20 = 997.85 : x
  2. Step 2: Convert to fraction form
    3,337.66/5,007.20 = 997.85/x
  3. Step 3: Cross multiply
    3,337.66x = 5,007.20 × 997.85
  4. Step 4: Simplify right side
    3,337.66x = 4,996,434.52
  5. Step 5: Solve for x
    x = 4,996,434.52/3,337.66
  6. Step 6: Final answer
    x = 1,496.99

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1.5x scale

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.