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Finding the Fourth Proportional to 6,287.29, 8,676.60 and 3,454.71

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Solution

The fourth proportional to 6,287.29, 8,676.60 and 3,454.71 is: 4,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.29 : 8,676.60 = 3,454.71 : x
  2. Step 2: Convert to fraction form
    6,287.29/8,676.60 = 3,454.71/x
  3. Step 3: Cross multiply
    6,287.29x = 8,676.60 × 3,454.71
  4. Step 4: Simplify right side
    6,287.29x = 29,975,084.77
  5. Step 5: Solve for x
    x = 29,975,084.77/6,287.29
  6. Step 6: Final answer
    x = 4,767.57

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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.