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Finding the Fourth Proportional to 8,449.06, 11,658.68 and 4,671.71

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Solution

The fourth proportional to 8,449.06, 11,658.68 and 4,671.71 is: 6,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.06 : 11,658.68 = 4,671.71 : x
  2. Step 2: Convert to fraction form
    8,449.06/11,658.68 = 4,671.71/x
  3. Step 3: Cross multiply
    8,449.06x = 11,658.68 × 4,671.71
  4. Step 4: Simplify right side
    8,449.06x = 54,465,948.58
  5. Step 5: Solve for x
    x = 54,465,948.58/8,449.06
  6. Step 6: Final answer
    x = 6,446.40

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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.