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Finding the Fourth Proportional to 7,971, 11,958.42 and 2,499

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Solution

The fourth proportional to 7,971, 11,958.42 and 2,499 is: 3,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 11,958.42 = 2,499 : x
  2. Step 2: Convert to fraction form
    7,971/11,958.42 = 2,499/x
  3. Step 3: Cross multiply
    7,971x = 11,958.42 × 2,499
  4. Step 4: Simplify right side
    7,971x = 29,884,091.58
  5. Step 5: Solve for x
    x = 29,884,091.58/7,971
  6. Step 6: Final answer
    x = 3,749.10

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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.