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Finding the Fourth Proportional to 2,199.48, 3,035.16 and 1,255.20

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Solution

The fourth proportional to 2,199.48, 3,035.16 and 1,255.20 is: 1,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.48 : 3,035.16 = 1,255.20 : x
  2. Step 2: Convert to fraction form
    2,199.48/3,035.16 = 1,255.20/x
  3. Step 3: Cross multiply
    2,199.48x = 3,035.16 × 1,255.20
  4. Step 4: Simplify right side
    2,199.48x = 3,809,732.83
  5. Step 5: Solve for x
    x = 3,809,732.83/2,199.48
  6. Step 6: Final answer
    x = 1,732.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.