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Finding the Fourth Proportional to 5,355.74, 7,390.87 and 2,965.77

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Solution

The fourth proportional to 5,355.74, 7,390.87 and 2,965.77 is: 4,092.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.74 : 7,390.87 = 2,965.77 : x
  2. Step 2: Convert to fraction form
    5,355.74/7,390.87 = 2,965.77/x
  3. Step 3: Cross multiply
    5,355.74x = 7,390.87 × 2,965.77
  4. Step 4: Simplify right side
    5,355.74x = 21,919,613.11
  5. Step 5: Solve for x
    x = 21,919,613.11/5,355.74
  6. Step 6: Final answer
    x = 4,092.73

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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.