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Finding the Fourth Proportional to 12,728.62, 17,565.23 and 6,986.21

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Solution

The fourth proportional to 12,728.62, 17,565.23 and 6,986.21 is: 9,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.62 : 17,565.23 = 6,986.21 : x
  2. Step 2: Convert to fraction form
    12,728.62/17,565.23 = 6,986.21/x
  3. Step 3: Cross multiply
    12,728.62x = 17,565.23 × 6,986.21
  4. Step 4: Simplify right side
    12,728.62x = 122,714,350.55
  5. Step 5: Solve for x
    x = 122,714,350.55/12,728.62
  6. Step 6: Final answer
    x = 9,640.83

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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.