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Finding the Fourth Proportional to 5,689.54, 8,543.57 and 3,512.11

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Solution

The fourth proportional to 5,689.54, 8,543.57 and 3,512.11 is: 5,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.54 : 8,543.57 = 3,512.11 : x
  2. Step 2: Convert to fraction form
    5,689.54/8,543.57 = 3,512.11/x
  3. Step 3: Cross multiply
    5,689.54x = 8,543.57 × 3,512.11
  4. Step 4: Simplify right side
    5,689.54x = 30,005,897.35
  5. Step 5: Solve for x
    x = 30,005,897.35/5,689.54
  6. Step 6: Final answer
    x = 5,273.88

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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.