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Finding the Fourth Proportional to 7,077.88, 9,767.82 and 3,934

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Solution

The fourth proportional to 7,077.88, 9,767.82 and 3,934 is: 5,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.88 : 9,767.82 = 3,934 : x
  2. Step 2: Convert to fraction form
    7,077.88/9,767.82 = 3,934/x
  3. Step 3: Cross multiply
    7,077.88x = 9,767.82 × 3,934
  4. Step 4: Simplify right side
    7,077.88x = 38,426,603.88
  5. Step 5: Solve for x
    x = 38,426,603.88/7,077.88
  6. Step 6: Final answer
    x = 5,429.11

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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.