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Finding the Fourth Proportional to 19,868.40, 29,791.80 and 8,182.80

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Solution

The fourth proportional to 19,868.40, 29,791.80 and 8,182.80 is: 12,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.40 : 29,791.80 = 8,182.80 : x
  2. Step 2: Convert to fraction form
    19,868.40/29,791.80 = 8,182.80/x
  3. Step 3: Cross multiply
    19,868.40x = 29,791.80 × 8,182.80
  4. Step 4: Simplify right side
    19,868.40x = 243,780,341.04
  5. Step 5: Solve for x
    x = 243,780,341.04/19,868.40
  6. Step 6: Final answer
    x = 12,269.75

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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.