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Finding the Fourth Proportional to 7,182.80, 10,774.56 and 2,565.80

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Solution

The fourth proportional to 7,182.80, 10,774.56 and 2,565.80 is: 3,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.80 : 10,774.56 = 2,565.80 : x
  2. Step 2: Convert to fraction form
    7,182.80/10,774.56 = 2,565.80/x
  3. Step 3: Cross multiply
    7,182.80x = 10,774.56 × 2,565.80
  4. Step 4: Simplify right side
    7,182.80x = 27,645,366.05
  5. Step 5: Solve for x
    x = 27,645,366.05/7,182.80
  6. Step 6: Final answer
    x = 3,848.83

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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.