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Finding the Fourth Proportional to 9,078.56, 12,524 and 6,427.44

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Solution

The fourth proportional to 9,078.56, 12,524 and 6,427.44 is: 8,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.56 : 12,524 = 6,427.44 : x
  2. Step 2: Convert to fraction form
    9,078.56/12,524 = 6,427.44/x
  3. Step 3: Cross multiply
    9,078.56x = 12,524 × 6,427.44
  4. Step 4: Simplify right side
    9,078.56x = 80,497,258.56
  5. Step 5: Solve for x
    x = 80,497,258.56/9,078.56
  6. Step 6: Final answer
    x = 8,866.74

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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.