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Finding the Fourth Proportional to 5,686.80, 8,531.70 and 1,989.02

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Solution

The fourth proportional to 5,686.80, 8,531.70 and 1,989.02 is: 2,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.80 : 8,531.70 = 1,989.02 : x
  2. Step 2: Convert to fraction form
    5,686.80/8,531.70 = 1,989.02/x
  3. Step 3: Cross multiply
    5,686.80x = 8,531.70 × 1,989.02
  4. Step 4: Simplify right side
    5,686.80x = 16,969,721.93
  5. Step 5: Solve for x
    x = 16,969,721.93/5,686.80
  6. Step 6: Final answer
    x = 2,984.05

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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.