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Finding the Fourth Proportional to 9,884.76, 13,624.38 and 8,117.88

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Solution

The fourth proportional to 9,884.76, 13,624.38 and 8,117.88 is: 11,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.76 : 13,624.38 = 8,117.88 : x
  2. Step 2: Convert to fraction form
    9,884.76/13,624.38 = 8,117.88/x
  3. Step 3: Cross multiply
    9,884.76x = 13,624.38 × 8,117.88
  4. Step 4: Simplify right side
    9,884.76x = 110,601,081.91
  5. Step 5: Solve for x
    x = 110,601,081.91/9,884.76
  6. Step 6: Final answer
    x = 11,189.05

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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.