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Finding the Fourth Proportional to 11,449.80, 15,791.84 and 7,671.76

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Solution

The fourth proportional to 11,449.80, 15,791.84 and 7,671.76 is: 10,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.80 : 15,791.84 = 7,671.76 : x
  2. Step 2: Convert to fraction form
    11,449.80/15,791.84 = 7,671.76/x
  3. Step 3: Cross multiply
    11,449.80x = 15,791.84 × 7,671.76
  4. Step 4: Simplify right side
    11,449.80x = 121,151,128.60
  5. Step 5: Solve for x
    x = 121,151,128.60/11,449.80
  6. Step 6: Final answer
    x = 10,581.07

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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.