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Finding the Fourth Proportional to 20,023.50, 30,035.25 and 9,079.50

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Solution

The fourth proportional to 20,023.50, 30,035.25 and 9,079.50 is: 13,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023.50 : 30,035.25 = 9,079.50 : x
  2. Step 2: Convert to fraction form
    20,023.50/30,035.25 = 9,079.50/x
  3. Step 3: Cross multiply
    20,023.50x = 30,035.25 × 9,079.50
  4. Step 4: Simplify right side
    20,023.50x = 272,705,052.38
  5. Step 5: Solve for x
    x = 272,705,052.38/20,023.50
  6. Step 6: Final answer
    x = 13,619.25

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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.