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Finding the Fourth Proportional to 7,871.76, 10,863.04 and 4,334.98

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Solution

The fourth proportional to 7,871.76, 10,863.04 and 4,334.98 is: 5,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.76 : 10,863.04 = 4,334.98 : x
  2. Step 2: Convert to fraction form
    7,871.76/10,863.04 = 4,334.98/x
  3. Step 3: Cross multiply
    7,871.76x = 10,863.04 × 4,334.98
  4. Step 4: Simplify right side
    7,871.76x = 47,091,061.14
  5. Step 5: Solve for x
    x = 47,091,061.14/7,871.76
  6. Step 6: Final answer
    x = 5,982.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.