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Finding the Fourth Proportional to 7,881.93, 11,822.87 and 3,201.87

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Solution

The fourth proportional to 7,881.93, 11,822.87 and 3,201.87 is: 4,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.93 : 11,822.87 = 3,201.87 : x
  2. Step 2: Convert to fraction form
    7,881.93/11,822.87 = 3,201.87/x
  3. Step 3: Cross multiply
    7,881.93x = 11,822.87 × 3,201.87
  4. Step 4: Simplify right side
    7,881.93x = 37,855,276.76
  5. Step 5: Solve for x
    x = 37,855,276.76/7,881.93
  6. Step 6: Final answer
    x = 4,802.79

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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.