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Finding the Fourth Proportional to 10,493.20, 15,734.04 and 7,207.12

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Solution

The fourth proportional to 10,493.20, 15,734.04 and 7,207.12 is: 10,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.20 : 15,734.04 = 7,207.12 : x
  2. Step 2: Convert to fraction form
    10,493.20/15,734.04 = 7,207.12/x
  3. Step 3: Cross multiply
    10,493.20x = 15,734.04 × 7,207.12
  4. Step 4: Simplify right side
    10,493.20x = 113,397,114.36
  5. Step 5: Solve for x
    x = 113,397,114.36/10,493.20
  6. Step 6: Final answer
    x = 10,806.72

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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.