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Finding the Fourth Proportional to 6,932.46, 9,564.63 and 4,278.78

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Solution

The fourth proportional to 6,932.46, 9,564.63 and 4,278.78 is: 5,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.46 : 9,564.63 = 4,278.78 : x
  2. Step 2: Convert to fraction form
    6,932.46/9,564.63 = 4,278.78/x
  3. Step 3: Cross multiply
    6,932.46x = 9,564.63 × 4,278.78
  4. Step 4: Simplify right side
    6,932.46x = 40,924,947.55
  5. Step 5: Solve for x
    x = 40,924,947.55/6,932.46
  6. Step 6: Final answer
    x = 5,903.38

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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.