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Finding the Fourth Proportional to 6,293.78, 9,436.50 and 3,520.74

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Solution

The fourth proportional to 6,293.78, 9,436.50 and 3,520.74 is: 5,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.78 : 9,436.50 = 3,520.74 : x
  2. Step 2: Convert to fraction form
    6,293.78/9,436.50 = 3,520.74/x
  3. Step 3: Cross multiply
    6,293.78x = 9,436.50 × 3,520.74
  4. Step 4: Simplify right side
    6,293.78x = 33,223,463.01
  5. Step 5: Solve for x
    x = 33,223,463.01/6,293.78
  6. Step 6: Final answer
    x = 5,278.78

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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.