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Finding the Fourth Proportional to 7,871.30, 11,806.93 and 5,398.62

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Solution

The fourth proportional to 7,871.30, 11,806.93 and 5,398.62 is: 8,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.30 : 11,806.93 = 5,398.62 : x
  2. Step 2: Convert to fraction form
    7,871.30/11,806.93 = 5,398.62/x
  3. Step 3: Cross multiply
    7,871.30x = 11,806.93 × 5,398.62
  4. Step 4: Simplify right side
    7,871.30x = 63,741,128.44
  5. Step 5: Solve for x
    x = 63,741,128.44/7,871.30
  6. Step 6: Final answer
    x = 8,097.92

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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.