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Finding the Fourth Proportional to 10,242.58, 15,363.84 and 3,223.20

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Solution

The fourth proportional to 10,242.58, 15,363.84 and 3,223.20 is: 4,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.58 : 15,363.84 = 3,223.20 : x
  2. Step 2: Convert to fraction form
    10,242.58/15,363.84 = 3,223.20/x
  3. Step 3: Cross multiply
    10,242.58x = 15,363.84 × 3,223.20
  4. Step 4: Simplify right side
    10,242.58x = 49,520,729.09
  5. Step 5: Solve for x
    x = 49,520,729.09/10,242.58
  6. Step 6: Final answer
    x = 4,834.79

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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.