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Finding the Fourth Proportional to 5,740.91, 7,921.60 and 3,503.55

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Solution

The fourth proportional to 5,740.91, 7,921.60 and 3,503.55 is: 4,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.91 : 7,921.60 = 3,503.55 : x
  2. Step 2: Convert to fraction form
    5,740.91/7,921.60 = 3,503.55/x
  3. Step 3: Cross multiply
    5,740.91x = 7,921.60 × 3,503.55
  4. Step 4: Simplify right side
    5,740.91x = 27,753,742.63
  5. Step 5: Solve for x
    x = 27,753,742.63/5,740.91
  6. Step 6: Final answer
    x = 4,834.38

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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.