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Finding the Fourth Proportional to 5,686.93, 8,531.19 and 1,988.32

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Solution

The fourth proportional to 5,686.93, 8,531.19 and 1,988.32 is: 2,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.93 : 8,531.19 = 1,988.32 : x
  2. Step 2: Convert to fraction form
    5,686.93/8,531.19 = 1,988.32/x
  3. Step 3: Cross multiply
    5,686.93x = 8,531.19 × 1,988.32
  4. Step 4: Simplify right side
    5,686.93x = 16,962,683.10
  5. Step 5: Solve for x
    x = 16,962,683.10/5,686.93
  6. Step 6: Final answer
    x = 2,982.75

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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.