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Finding the Fourth Proportional to 8,351.76, 12,527.86 and 2,805.30

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Solution

The fourth proportional to 8,351.76, 12,527.86 and 2,805.30 is: 4,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.76 : 12,527.86 = 2,805.30 : x
  2. Step 2: Convert to fraction form
    8,351.76/12,527.86 = 2,805.30/x
  3. Step 3: Cross multiply
    8,351.76x = 12,527.86 × 2,805.30
  4. Step 4: Simplify right side
    8,351.76x = 35,144,405.66
  5. Step 5: Solve for x
    x = 35,144,405.66/8,351.76
  6. Step 6: Final answer
    x = 4,208.02

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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.