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Finding the Fourth Proportional to 3,307, 4,960.52 and 1,255

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Solution

The fourth proportional to 3,307, 4,960.52 and 1,255 is: 1,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307 : 4,960.52 = 1,255 : x
  2. Step 2: Convert to fraction form
    3,307/4,960.52 = 1,255/x
  3. Step 3: Cross multiply
    3,307x = 4,960.52 × 1,255
  4. Step 4: Simplify right side
    3,307x = 6,225,452.60
  5. Step 5: Solve for x
    x = 6,225,452.60/3,307
  6. Step 6: Final answer
    x = 1,882.51

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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.