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Finding the Fourth Proportional to 2,199.65, 3,035.36 and 1,255.47

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Solution

The fourth proportional to 2,199.65, 3,035.36 and 1,255.47 is: 1,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.65 : 3,035.36 = 1,255.47 : x
  2. Step 2: Convert to fraction form
    2,199.65/3,035.36 = 1,255.47/x
  3. Step 3: Cross multiply
    2,199.65x = 3,035.36 × 1,255.47
  4. Step 4: Simplify right side
    2,199.65x = 3,810,797.14
  5. Step 5: Solve for x
    x = 3,810,797.14/2,199.65
  6. Step 6: Final answer
    x = 1,732.46

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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.