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Finding the Fourth Proportional to 5,475.57, 7,543.85 and 5,106.21

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Solution

The fourth proportional to 5,475.57, 7,543.85 and 5,106.21 is: 7,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475.57 : 7,543.85 = 5,106.21 : x
  2. Step 2: Convert to fraction form
    5,475.57/7,543.85 = 5,106.21/x
  3. Step 3: Cross multiply
    5,475.57x = 7,543.85 × 5,106.21
  4. Step 4: Simplify right side
    5,475.57x = 38,520,456.78
  5. Step 5: Solve for x
    x = 38,520,456.78/5,475.57
  6. Step 6: Final answer
    x = 7,034.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.