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Finding the Fourth Proportional to 7,061.80, 9,745.88 and 3,919

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Solution

The fourth proportional to 7,061.80, 9,745.88 and 3,919 is: 5,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.80 : 9,745.88 = 3,919 : x
  2. Step 2: Convert to fraction form
    7,061.80/9,745.88 = 3,919/x
  3. Step 3: Cross multiply
    7,061.80x = 9,745.88 × 3,919
  4. Step 4: Simplify right side
    7,061.80x = 38,194,103.72
  5. Step 5: Solve for x
    x = 38,194,103.72/7,061.80
  6. Step 6: Final answer
    x = 5,408.55

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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.