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Finding the Fourth Proportional to 7,203.96, 10,802.88 and 2,820.72

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Solution

The fourth proportional to 7,203.96, 10,802.88 and 2,820.72 is: 4,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.96 : 10,802.88 = 2,820.72 : x
  2. Step 2: Convert to fraction form
    7,203.96/10,802.88 = 2,820.72/x
  3. Step 3: Cross multiply
    7,203.96x = 10,802.88 × 2,820.72
  4. Step 4: Simplify right side
    7,203.96x = 30,471,899.67
  5. Step 5: Solve for x
    x = 30,471,899.67/7,203.96
  6. Step 6: Final answer
    x = 4,229.88

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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.