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Finding the Fourth Proportional to 8,187.65, 12,284.07 and 2,922.54

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Solution

The fourth proportional to 8,187.65, 12,284.07 and 2,922.54 is: 4,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.65 : 12,284.07 = 2,922.54 : x
  2. Step 2: Convert to fraction form
    8,187.65/12,284.07 = 2,922.54/x
  3. Step 3: Cross multiply
    8,187.65x = 12,284.07 × 2,922.54
  4. Step 4: Simplify right side
    8,187.65x = 35,900,671.33
  5. Step 5: Solve for x
    x = 35,900,671.33/8,187.65
  6. Step 6: Final answer
    x = 4,384.74

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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.