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Finding the Fourth Proportional to 8,189.47, 12,275.01 and 3,257.78

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Solution

The fourth proportional to 8,189.47, 12,275.01 and 3,257.78 is: 4,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.47 : 12,275.01 = 3,257.78 : x
  2. Step 2: Convert to fraction form
    8,189.47/12,275.01 = 3,257.78/x
  3. Step 3: Cross multiply
    8,189.47x = 12,275.01 × 3,257.78
  4. Step 4: Simplify right side
    8,189.47x = 39,989,282.08
  5. Step 5: Solve for x
    x = 39,989,282.08/8,189.47
  6. Step 6: Final answer
    x = 4,883.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.