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Finding the Fourth Proportional to 6,439.64, 9,660.23 and 2,278.79

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Solution

The fourth proportional to 6,439.64, 9,660.23 and 2,278.79 is: 3,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.64 : 9,660.23 = 2,278.79 : x
  2. Step 2: Convert to fraction form
    6,439.64/9,660.23 = 2,278.79/x
  3. Step 3: Cross multiply
    6,439.64x = 9,660.23 × 2,278.79
  4. Step 4: Simplify right side
    6,439.64x = 22,013,624.13
  5. Step 5: Solve for x
    x = 22,013,624.13/6,439.64
  6. Step 6: Final answer
    x = 3,418.46

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1.5x scale

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.