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Finding the Fourth Proportional to 5,872.34, 8,809.86 and 1,976.65

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Solution

The fourth proportional to 5,872.34, 8,809.86 and 1,976.65 is: 2,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.34 : 8,809.86 = 1,976.65 : x
  2. Step 2: Convert to fraction form
    5,872.34/8,809.86 = 1,976.65/x
  3. Step 3: Cross multiply
    5,872.34x = 8,809.86 × 1,976.65
  4. Step 4: Simplify right side
    5,872.34x = 17,414,009.77
  5. Step 5: Solve for x
    x = 17,414,009.77/5,872.34
  6. Step 6: Final answer
    x = 2,965.43

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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.