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Finding the Fourth Proportional to 8,187.94, 12,284.50 and 2,922.83

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Solution

The fourth proportional to 8,187.94, 12,284.50 and 2,922.83 is: 4,385.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.94 : 12,284.50 = 2,922.83 : x
  2. Step 2: Convert to fraction form
    8,187.94/12,284.50 = 2,922.83/x
  3. Step 3: Cross multiply
    8,187.94x = 12,284.50 × 2,922.83
  4. Step 4: Simplify right side
    8,187.94x = 35,905,562.16
  5. Step 5: Solve for x
    x = 35,905,562.16/8,187.94
  6. Step 6: Final answer
    x = 4,385.18

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1.5x scale

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.