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Finding the Fourth Proportional to 6,231.65, 9,319.92 and 5,543.15

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Solution

The fourth proportional to 6,231.65, 9,319.92 and 5,543.15 is: 8,290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.65 : 9,319.92 = 5,543.15 : x
  2. Step 2: Convert to fraction form
    6,231.65/9,319.92 = 5,543.15/x
  3. Step 3: Cross multiply
    6,231.65x = 9,319.92 × 5,543.15
  4. Step 4: Simplify right side
    6,231.65x = 51,661,714.55
  5. Step 5: Solve for x
    x = 51,661,714.55/6,231.65
  6. Step 6: Final answer
    x = 8,290.21

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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.