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Finding the Fourth Proportional to 3,998.87, 6,000.47 and 1,660.47

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Solution

The fourth proportional to 3,998.87, 6,000.47 and 1,660.47 is: 2,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.87 : 6,000.47 = 1,660.47 : x
  2. Step 2: Convert to fraction form
    3,998.87/6,000.47 = 1,660.47/x
  3. Step 3: Cross multiply
    3,998.87x = 6,000.47 × 1,660.47
  4. Step 4: Simplify right side
    3,998.87x = 9,963,600.42
  5. Step 5: Solve for x
    x = 9,963,600.42/3,998.87
  6. Step 6: Final answer
    x = 2,491.60

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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.