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Finding the Fourth Proportional to 12,856.14, 17,749.22 and 8,387.64

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Solution

The fourth proportional to 12,856.14, 17,749.22 and 8,387.64 is: 11,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.14 : 17,749.22 = 8,387.64 : x
  2. Step 2: Convert to fraction form
    12,856.14/17,749.22 = 8,387.64/x
  3. Step 3: Cross multiply
    12,856.14x = 17,749.22 × 8,387.64
  4. Step 4: Simplify right side
    12,856.14x = 148,874,025.70
  5. Step 5: Solve for x
    x = 148,874,025.70/12,856.14
  6. Step 6: Final answer
    x = 11,579.99

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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.