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Finding the Fourth Proportional to 7,881.88, 11,824.66 and 2,687.76

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Solution

The fourth proportional to 7,881.88, 11,824.66 and 2,687.76 is: 4,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.88 : 11,824.66 = 2,687.76 : x
  2. Step 2: Convert to fraction form
    7,881.88/11,824.66 = 2,687.76/x
  3. Step 3: Cross multiply
    7,881.88x = 11,824.66 × 2,687.76
  4. Step 4: Simplify right side
    7,881.88x = 31,781,848.16
  5. Step 5: Solve for x
    x = 31,781,848.16/7,881.88
  6. Step 6: Final answer
    x = 4,032.27

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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.