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Finding the Fourth Proportional to 9,427.12, 12,979.80 and 8,007.84

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Solution

The fourth proportional to 9,427.12, 12,979.80 and 8,007.84 is: 11,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.12 : 12,979.80 = 8,007.84 : x
  2. Step 2: Convert to fraction form
    9,427.12/12,979.80 = 8,007.84/x
  3. Step 3: Cross multiply
    9,427.12x = 12,979.80 × 8,007.84
  4. Step 4: Simplify right side
    9,427.12x = 103,940,161.63
  5. Step 5: Solve for x
    x = 103,940,161.63/9,427.12
  6. Step 6: Final answer
    x = 11,025.65

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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.