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Finding the Fourth Proportional to 8,056, 12,084 and 2,862.08

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Solution

The fourth proportional to 8,056, 12,084 and 2,862.08 is: 4,293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056 : 12,084 = 2,862.08 : x
  2. Step 2: Convert to fraction form
    8,056/12,084 = 2,862.08/x
  3. Step 3: Cross multiply
    8,056x = 12,084 × 2,862.08
  4. Step 4: Simplify right side
    8,056x = 34,585,374.72
  5. Step 5: Solve for x
    x = 34,585,374.72/8,056
  6. Step 6: Final answer
    x = 4,293.12

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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.