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Finding the Fourth Proportional to 7,881.79, 11,824.52 and 2,687.67

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Solution

The fourth proportional to 7,881.79, 11,824.52 and 2,687.67 is: 4,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.79 : 11,824.52 = 2,687.67 : x
  2. Step 2: Convert to fraction form
    7,881.79/11,824.52 = 2,687.67/x
  3. Step 3: Cross multiply
    7,881.79x = 11,824.52 × 2,687.67
  4. Step 4: Simplify right side
    7,881.79x = 31,780,407.67
  5. Step 5: Solve for x
    x = 31,780,407.67/7,881.79
  6. Step 6: Final answer
    x = 4,032.13

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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.