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Finding the Fourth Proportional to 8,122.95, 12,184.43 and 1,966.95

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Solution

The fourth proportional to 8,122.95, 12,184.43 and 1,966.95 is: 2,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.95 : 12,184.43 = 1,966.95 : x
  2. Step 2: Convert to fraction form
    8,122.95/12,184.43 = 1,966.95/x
  3. Step 3: Cross multiply
    8,122.95x = 12,184.43 × 1,966.95
  4. Step 4: Simplify right side
    8,122.95x = 23,966,154.75
  5. Step 5: Solve for x
    x = 23,966,154.75/8,122.95
  6. Step 6: Final answer
    x = 2,950.43

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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.