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Finding the Fourth Proportional to 7,881.62, 11,825.15 and 3,502.14

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Solution

The fourth proportional to 7,881.62, 11,825.15 and 3,502.14 is: 5,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.62 : 11,825.15 = 3,502.14 : x
  2. Step 2: Convert to fraction form
    7,881.62/11,825.15 = 3,502.14/x
  3. Step 3: Cross multiply
    7,881.62x = 11,825.15 × 3,502.14
  4. Step 4: Simplify right side
    7,881.62x = 41,413,313.31
  5. Step 5: Solve for x
    x = 41,413,313.31/7,881.62
  6. Step 6: Final answer
    x = 5,254.42

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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.