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Finding the Fourth Proportional to 7,871.04, 11,806.56 and 3,254.08

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Solution

The fourth proportional to 7,871.04, 11,806.56 and 3,254.08 is: 4,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.04 : 11,806.56 = 3,254.08 : x
  2. Step 2: Convert to fraction form
    7,871.04/11,806.56 = 3,254.08/x
  3. Step 3: Cross multiply
    7,871.04x = 11,806.56 × 3,254.08
  4. Step 4: Simplify right side
    7,871.04x = 38,419,490.76
  5. Step 5: Solve for x
    x = 38,419,490.76/7,871.04
  6. Step 6: Final answer
    x = 4,881.12

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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.