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Finding the Fourth Proportional to 22,909.70, 34,352.40 and 8,119.10

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Solution

The fourth proportional to 22,909.70, 34,352.40 and 8,119.10 is: 12,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.70 : 34,352.40 = 8,119.10 : x
  2. Step 2: Convert to fraction form
    22,909.70/34,352.40 = 8,119.10/x
  3. Step 3: Cross multiply
    22,909.70x = 34,352.40 × 8,119.10
  4. Step 4: Simplify right side
    22,909.70x = 278,910,570.84
  5. Step 5: Solve for x
    x = 278,910,570.84/22,909.70
  6. Step 6: Final answer
    x = 12,174.34

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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.