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Finding the Fourth Proportional to 5,689.55, 8,534.32 and 1,990.90

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Solution

The fourth proportional to 5,689.55, 8,534.32 and 1,990.90 is: 2,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.55 : 8,534.32 = 1,990.90 : x
  2. Step 2: Convert to fraction form
    5,689.55/8,534.32 = 1,990.90/x
  3. Step 3: Cross multiply
    5,689.55x = 8,534.32 × 1,990.90
  4. Step 4: Simplify right side
    5,689.55x = 16,990,946.57
  5. Step 5: Solve for x
    x = 16,990,946.57/5,689.55
  6. Step 6: Final answer
    x = 2,986.34

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Similar ratio
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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.