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Finding the Fourth Proportional to 10,219.80, 15,310.80 and 5,824.20

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Solution

The fourth proportional to 10,219.80, 15,310.80 and 5,824.20 is: 8,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.80 : 15,310.80 = 5,824.20 : x
  2. Step 2: Convert to fraction form
    10,219.80/15,310.80 = 5,824.20/x
  3. Step 3: Cross multiply
    10,219.80x = 15,310.80 × 5,824.20
  4. Step 4: Simplify right side
    10,219.80x = 89,173,161.36
  5. Step 5: Solve for x
    x = 89,173,161.36/10,219.80
  6. Step 6: Final answer
    x = 8,725.53

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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.