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Finding the Fourth Proportional to 9,278.79, 12,793.46 and 6,448.56

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Solution

The fourth proportional to 9,278.79, 12,793.46 and 6,448.56 is: 8,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.79 : 12,793.46 = 6,448.56 : x
  2. Step 2: Convert to fraction form
    9,278.79/12,793.46 = 6,448.56/x
  3. Step 3: Cross multiply
    9,278.79x = 12,793.46 × 6,448.56
  4. Step 4: Simplify right side
    9,278.79x = 82,499,362.17
  5. Step 5: Solve for x
    x = 82,499,362.17/9,278.79
  6. Step 6: Final answer
    x = 8,891.18

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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.