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Finding the Fourth Proportional to 7,871.52, 10,863.06 and 5,041.32

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Solution

The fourth proportional to 7,871.52, 10,863.06 and 5,041.32 is: 6,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.52 : 10,863.06 = 5,041.32 : x
  2. Step 2: Convert to fraction form
    7,871.52/10,863.06 = 5,041.32/x
  3. Step 3: Cross multiply
    7,871.52x = 10,863.06 × 5,041.32
  4. Step 4: Simplify right side
    7,871.52x = 54,764,161.64
  5. Step 5: Solve for x
    x = 54,764,161.64/7,871.52
  6. Step 6: Final answer
    x = 6,957.25

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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.