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Finding the Fourth Proportional to 5,463.56, 7,539.70 and 3,105.70

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Solution

The fourth proportional to 5,463.56, 7,539.70 and 3,105.70 is: 4,285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.56 : 7,539.70 = 3,105.70 : x
  2. Step 2: Convert to fraction form
    5,463.56/7,539.70 = 3,105.70/x
  3. Step 3: Cross multiply
    5,463.56x = 7,539.70 × 3,105.70
  4. Step 4: Simplify right side
    5,463.56x = 23,416,046.29
  5. Step 5: Solve for x
    x = 23,416,046.29/5,463.56
  6. Step 6: Final answer
    x = 4,285.86

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1.5x scale

Why These Related Problems?

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