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Finding the Fourth Proportional to 6,315, 8,714.08 and 3,481.88

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Solution

The fourth proportional to 6,315, 8,714.08 and 3,481.88 is: 4,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315 : 8,714.08 = 3,481.88 : x
  2. Step 2: Convert to fraction form
    6,315/8,714.08 = 3,481.88/x
  3. Step 3: Cross multiply
    6,315x = 8,714.08 × 3,481.88
  4. Step 4: Simplify right side
    6,315x = 30,341,380.87
  5. Step 5: Solve for x
    x = 30,341,380.87/6,315
  6. Step 6: Final answer
    x = 4,804.65

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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.