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Finding the Fourth Proportional to 5,689.14, 8,531.97 and 1,990.68

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Solution

The fourth proportional to 5,689.14, 8,531.97 and 1,990.68 is: 2,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.14 : 8,531.97 = 1,990.68 : x
  2. Step 2: Convert to fraction form
    5,689.14/8,531.97 = 1,990.68/x
  3. Step 3: Cross multiply
    5,689.14x = 8,531.97 × 1,990.68
  4. Step 4: Simplify right side
    5,689.14x = 16,984,379.38
  5. Step 5: Solve for x
    x = 16,984,379.38/5,689.14
  6. Step 6: Final answer
    x = 2,985.41

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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.