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Finding the Fourth Proportional to 5,343.74, 8,011.81 and 1,643.96

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Solution

The fourth proportional to 5,343.74, 8,011.81 and 1,643.96 is: 2,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.74 : 8,011.81 = 1,643.96 : x
  2. Step 2: Convert to fraction form
    5,343.74/8,011.81 = 1,643.96/x
  3. Step 3: Cross multiply
    5,343.74x = 8,011.81 × 1,643.96
  4. Step 4: Simplify right side
    5,343.74x = 13,171,117.25
  5. Step 5: Solve for x
    x = 13,171,117.25/5,343.74
  6. Step 6: Final answer
    x = 2,464.78

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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.