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Finding the Fourth Proportional to 12,712.38, 17,543.08 and 7,744.38

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Solution

The fourth proportional to 12,712.38, 17,543.08 and 7,744.38 is: 10,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.38 : 17,543.08 = 7,744.38 : x
  2. Step 2: Convert to fraction form
    12,712.38/17,543.08 = 7,744.38/x
  3. Step 3: Cross multiply
    12,712.38x = 17,543.08 × 7,744.38
  4. Step 4: Simplify right side
    12,712.38x = 135,860,277.89
  5. Step 5: Solve for x
    x = 135,860,277.89/12,712.38
  6. Step 6: Final answer
    x = 10,687.24

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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.