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Finding the Fourth Proportional to 7,881.62, 11,829.72 and 3,988.76

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Solution

The fourth proportional to 7,881.62, 11,829.72 and 3,988.76 is: 5,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.62 : 11,829.72 = 3,988.76 : x
  2. Step 2: Convert to fraction form
    7,881.62/11,829.72 = 3,988.76/x
  3. Step 3: Cross multiply
    7,881.62x = 11,829.72 × 3,988.76
  4. Step 4: Simplify right side
    7,881.62x = 47,185,913.95
  5. Step 5: Solve for x
    x = 47,185,913.95/7,881.62
  6. Step 6: Final answer
    x = 5,986.83

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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.