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Finding the Fourth Proportional to 5,251.04, 7,871.72 and 1,785.88

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Solution

The fourth proportional to 5,251.04, 7,871.72 and 1,785.88 is: 2,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.04 : 7,871.72 = 1,785.88 : x
  2. Step 2: Convert to fraction form
    5,251.04/7,871.72 = 1,785.88/x
  3. Step 3: Cross multiply
    5,251.04x = 7,871.72 × 1,785.88
  4. Step 4: Simplify right side
    5,251.04x = 14,057,947.31
  5. Step 5: Solve for x
    x = 14,057,947.31/5,251.04
  6. Step 6: Final answer
    x = 2,677.17

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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.