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Finding the Fourth Proportional to 5,640.86, 8,464.79 and 2,719.46

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Solution

The fourth proportional to 5,640.86, 8,464.79 and 2,719.46 is: 4,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.86 : 8,464.79 = 2,719.46 : x
  2. Step 2: Convert to fraction form
    5,640.86/8,464.79 = 2,719.46/x
  3. Step 3: Cross multiply
    5,640.86x = 8,464.79 × 2,719.46
  4. Step 4: Simplify right side
    5,640.86x = 23,019,657.81
  5. Step 5: Solve for x
    x = 23,019,657.81/5,640.86
  6. Step 6: Final answer
    x = 4,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.