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Finding the Fourth Proportional to 9,279.41, 12,798.14 and 8,157.97

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Solution

The fourth proportional to 9,279.41, 12,798.14 and 8,157.97 is: 11,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.41 : 12,798.14 = 8,157.97 : x
  2. Step 2: Convert to fraction form
    9,279.41/12,798.14 = 8,157.97/x
  3. Step 3: Cross multiply
    9,279.41x = 12,798.14 × 8,157.97
  4. Step 4: Simplify right side
    9,279.41x = 104,406,842.18
  5. Step 5: Solve for x
    x = 104,406,842.18/9,279.41
  6. Step 6: Final answer
    x = 11,251.45

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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.