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Finding the Fourth Proportional to 5,663.46, 7,815.42 and 3,145.56

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Solution

The fourth proportional to 5,663.46, 7,815.42 and 3,145.56 is: 4,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.46 : 7,815.42 = 3,145.56 : x
  2. Step 2: Convert to fraction form
    5,663.46/7,815.42 = 3,145.56/x
  3. Step 3: Cross multiply
    5,663.46x = 7,815.42 × 3,145.56
  4. Step 4: Simplify right side
    5,663.46x = 24,583,872.54
  5. Step 5: Solve for x
    x = 24,583,872.54/5,663.46
  6. Step 6: Final answer
    x = 4,340.79

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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.