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Finding the Fourth Proportional to 12,763.96, 17,613.36 and 7,986.04

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Solution

The fourth proportional to 12,763.96, 17,613.36 and 7,986.04 is: 11,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.96 : 17,613.36 = 7,986.04 : x
  2. Step 2: Convert to fraction form
    12,763.96/17,613.36 = 7,986.04/x
  3. Step 3: Cross multiply
    12,763.96x = 17,613.36 × 7,986.04
  4. Step 4: Simplify right side
    12,763.96x = 140,660,997.49
  5. Step 5: Solve for x
    x = 140,660,997.49/12,763.96
  6. Step 6: Final answer
    x = 11,020.17

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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.