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Finding the Fourth Proportional to 7,190.80, 10,781.80 and 2,803.20

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Solution

The fourth proportional to 7,190.80, 10,781.80 and 2,803.20 is: 4,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.80 : 10,781.80 = 2,803.20 : x
  2. Step 2: Convert to fraction form
    7,190.80/10,781.80 = 2,803.20/x
  3. Step 3: Cross multiply
    7,190.80x = 10,781.80 × 2,803.20
  4. Step 4: Simplify right side
    7,190.80x = 30,223,541.76
  5. Step 5: Solve for x
    x = 30,223,541.76/7,190.80
  6. Step 6: Final answer
    x = 4,203.08

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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.