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Finding the Fourth Proportional to 20,224.50, 30,342.74 and 10,370.70

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Solution

The fourth proportional to 20,224.50, 30,342.74 and 10,370.70 is: 15,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,224.50 : 30,342.74 = 10,370.70 : x
  2. Step 2: Convert to fraction form
    20,224.50/30,342.74 = 10,370.70/x
  3. Step 3: Cross multiply
    20,224.50x = 30,342.74 × 10,370.70
  4. Step 4: Simplify right side
    20,224.50x = 314,675,401.86
  5. Step 5: Solve for x
    x = 314,675,401.86/20,224.50
  6. Step 6: Final answer
    x = 15,559.12

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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.