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Finding the Fourth Proportional to 3,940.52, 5,910.35 and 1,307.88

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Solution

The fourth proportional to 3,940.52, 5,910.35 and 1,307.88 is: 1,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.52 : 5,910.35 = 1,307.88 : x
  2. Step 2: Convert to fraction form
    3,940.52/5,910.35 = 1,307.88/x
  3. Step 3: Cross multiply
    3,940.52x = 5,910.35 × 1,307.88
  4. Step 4: Simplify right side
    3,940.52x = 7,730,022.02
  5. Step 5: Solve for x
    x = 7,730,022.02/3,940.52
  6. Step 6: Final answer
    x = 1,961.68

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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.