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Finding the Fourth Proportional to 3,255.74, 4,885 and 1,065.14

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Solution

The fourth proportional to 3,255.74, 4,885 and 1,065.14 is: 1,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.74 : 4,885 = 1,065.14 : x
  2. Step 2: Convert to fraction form
    3,255.74/4,885 = 1,065.14/x
  3. Step 3: Cross multiply
    3,255.74x = 4,885 × 1,065.14
  4. Step 4: Simplify right side
    3,255.74x = 5,203,208.90
  5. Step 5: Solve for x
    x = 5,203,208.90/3,255.74
  6. Step 6: Final answer
    x = 1,598.16

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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.