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Finding the Fourth Proportional to 6,478.46, 9,718.62 and 3,191.58

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Solution

The fourth proportional to 6,478.46, 9,718.62 and 3,191.58 is: 4,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.46 : 9,718.62 = 3,191.58 : x
  2. Step 2: Convert to fraction form
    6,478.46/9,718.62 = 3,191.58/x
  3. Step 3: Cross multiply
    6,478.46x = 9,718.62 × 3,191.58
  4. Step 4: Simplify right side
    6,478.46x = 31,017,753.22
  5. Step 5: Solve for x
    x = 31,017,753.22/6,478.46
  6. Step 6: Final answer
    x = 4,787.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.