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Finding the Fourth Proportional to 6,278.29, 8,662.29 and 4,486.31

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Solution

The fourth proportional to 6,278.29, 8,662.29 and 4,486.31 is: 6,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.29 : 8,662.29 = 4,486.31 : x
  2. Step 2: Convert to fraction form
    6,278.29/8,662.29 = 4,486.31/x
  3. Step 3: Cross multiply
    6,278.29x = 8,662.29 × 4,486.31
  4. Step 4: Simplify right side
    6,278.29x = 38,861,718.25
  5. Step 5: Solve for x
    x = 38,861,718.25/6,278.29
  6. Step 6: Final answer
    x = 6,189.86

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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.