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Finding the Fourth Proportional to 12,887.68, 17,785.28 and 7,298.88

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Solution

The fourth proportional to 12,887.68, 17,785.28 and 7,298.88 is: 10,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.68 : 17,785.28 = 7,298.88 : x
  2. Step 2: Convert to fraction form
    12,887.68/17,785.28 = 7,298.88/x
  3. Step 3: Cross multiply
    12,887.68x = 17,785.28 × 7,298.88
  4. Step 4: Simplify right side
    12,887.68x = 129,812,624.49
  5. Step 5: Solve for x
    x = 129,812,624.49/12,887.68
  6. Step 6: Final answer
    x = 10,072.61

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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.