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Finding the Fourth Proportional to 6,278.86, 8,660 and 4,599.68

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Solution

The fourth proportional to 6,278.86, 8,660 and 4,599.68 is: 6,344.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.86 : 8,660 = 4,599.68 : x
  2. Step 2: Convert to fraction form
    6,278.86/8,660 = 4,599.68/x
  3. Step 3: Cross multiply
    6,278.86x = 8,660 × 4,599.68
  4. Step 4: Simplify right side
    6,278.86x = 39,833,228.80
  5. Step 5: Solve for x
    x = 39,833,228.80/6,278.86
  6. Step 6: Final answer
    x = 6,344.02

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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.