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Finding the Fourth Proportional to 6,448.46, 9,672.29 and 2,287.92

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Solution

The fourth proportional to 6,448.46, 9,672.29 and 2,287.92 is: 3,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.46 : 9,672.29 = 2,287.92 : x
  2. Step 2: Convert to fraction form
    6,448.46/9,672.29 = 2,287.92/x
  3. Step 3: Cross multiply
    6,448.46x = 9,672.29 × 2,287.92
  4. Step 4: Simplify right side
    6,448.46x = 22,129,431.46
  5. Step 5: Solve for x
    x = 22,129,431.46/6,448.46
  6. Step 6: Final answer
    x = 3,431.74

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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.