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Finding the Fourth Proportional to 12,881, 17,775.78 and 7,292

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Solution

The fourth proportional to 12,881, 17,775.78 and 7,292 is: 10,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881 : 17,775.78 = 7,292 : x
  2. Step 2: Convert to fraction form
    12,881/17,775.78 = 7,292/x
  3. Step 3: Cross multiply
    12,881x = 17,775.78 × 7,292
  4. Step 4: Simplify right side
    12,881x = 129,620,987.76
  5. Step 5: Solve for x
    x = 129,620,987.76/12,881
  6. Step 6: Final answer
    x = 10,062.96

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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.