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Finding the Fourth Proportional to 9,279.67, 12,798.48 and 8,158.21

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Solution

The fourth proportional to 9,279.67, 12,798.48 and 8,158.21 is: 11,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.67 : 12,798.48 = 8,158.21 : x
  2. Step 2: Convert to fraction form
    9,279.67/12,798.48 = 8,158.21/x
  3. Step 3: Cross multiply
    9,279.67x = 12,798.48 × 8,158.21
  4. Step 4: Simplify right side
    9,279.67x = 104,412,687.52
  5. Step 5: Solve for x
    x = 104,412,687.52/9,279.67
  6. Step 6: Final answer
    x = 11,251.77

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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.