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Finding the Fourth Proportional to 5,793.38, 7,994.81 and 3,140.72

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Solution

The fourth proportional to 5,793.38, 7,994.81 and 3,140.72 is: 4,334.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.38 : 7,994.81 = 3,140.72 : x
  2. Step 2: Convert to fraction form
    5,793.38/7,994.81 = 3,140.72/x
  3. Step 3: Cross multiply
    5,793.38x = 7,994.81 × 3,140.72
  4. Step 4: Simplify right side
    5,793.38x = 25,109,459.66
  5. Step 5: Solve for x
    x = 25,109,459.66/5,793.38
  6. Step 6: Final answer
    x = 4,334.16

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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.