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Finding the Fourth Proportional to 6,377.88, 9,564.39 and 1,934.64

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Solution

The fourth proportional to 6,377.88, 9,564.39 and 1,934.64 is: 2,901.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.88 : 9,564.39 = 1,934.64 : x
  2. Step 2: Convert to fraction form
    6,377.88/9,564.39 = 1,934.64/x
  3. Step 3: Cross multiply
    6,377.88x = 9,564.39 × 1,934.64
  4. Step 4: Simplify right side
    6,377.88x = 18,503,651.47
  5. Step 5: Solve for x
    x = 18,503,651.47/6,377.88
  6. Step 6: Final answer
    x = 2,901.22

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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.