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Finding the Fourth Proportional to 13,122.90, 19,624.50 and 9,793.50

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Solution

The fourth proportional to 13,122.90, 19,624.50 and 9,793.50 is: 14,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.90 : 19,624.50 = 9,793.50 : x
  2. Step 2: Convert to fraction form
    13,122.90/19,624.50 = 9,793.50/x
  3. Step 3: Cross multiply
    13,122.90x = 19,624.50 × 9,793.50
  4. Step 4: Simplify right side
    13,122.90x = 192,192,540.75
  5. Step 5: Solve for x
    x = 192,192,540.75/13,122.90
  6. Step 6: Final answer
    x = 14,645.58

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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.