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Finding the Fourth Proportional to 8,171.76, 11,275.53 and 5,486.88

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Solution

The fourth proportional to 8,171.76, 11,275.53 and 5,486.88 is: 7,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.76 : 11,275.53 = 5,486.88 : x
  2. Step 2: Convert to fraction form
    8,171.76/11,275.53 = 5,486.88/x
  3. Step 3: Cross multiply
    8,171.76x = 11,275.53 × 5,486.88
  4. Step 4: Simplify right side
    8,171.76x = 61,867,480.05
  5. Step 5: Solve for x
    x = 61,867,480.05/8,171.76
  6. Step 6: Final answer
    x = 7,570.89

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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.