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Finding the Fourth Proportional to 6,404.82, 8,836.47 and 4,169.76

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Solution

The fourth proportional to 6,404.82, 8,836.47 and 4,169.76 is: 5,752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.82 : 8,836.47 = 4,169.76 : x
  2. Step 2: Convert to fraction form
    6,404.82/8,836.47 = 4,169.76/x
  3. Step 3: Cross multiply
    6,404.82x = 8,836.47 × 4,169.76
  4. Step 4: Simplify right side
    6,404.82x = 36,845,959.15
  5. Step 5: Solve for x
    x = 36,845,959.15/6,404.82
  6. Step 6: Final answer
    x = 5,752.85

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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.