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Finding the Fourth Proportional to 3,988.71, 5,982.88 and 1,648.08

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Solution

The fourth proportional to 3,988.71, 5,982.88 and 1,648.08 is: 2,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.71 : 5,982.88 = 1,648.08 : x
  2. Step 2: Convert to fraction form
    3,988.71/5,982.88 = 1,648.08/x
  3. Step 3: Cross multiply
    3,988.71x = 5,982.88 × 1,648.08
  4. Step 4: Simplify right side
    3,988.71x = 9,860,264.87
  5. Step 5: Solve for x
    x = 9,860,264.87/3,988.71
  6. Step 6: Final answer
    x = 2,472.04

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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.