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Finding the Fourth Proportional to 7,871.77, 11,809.40 and 2,608.43

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Solution

The fourth proportional to 7,871.77, 11,809.40 and 2,608.43 is: 3,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.77 : 11,809.40 = 2,608.43 : x
  2. Step 2: Convert to fraction form
    7,871.77/11,809.40 = 2,608.43/x
  3. Step 3: Cross multiply
    7,871.77x = 11,809.40 × 2,608.43
  4. Step 4: Simplify right side
    7,871.77x = 30,803,921.15
  5. Step 5: Solve for x
    x = 30,803,921.15/7,871.77
  6. Step 6: Final answer
    x = 3,913.21

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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.