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Finding the Fourth Proportional to 3,871.76, 5,344.26 and 2,474.51

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Solution

The fourth proportional to 3,871.76, 5,344.26 and 2,474.51 is: 3,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.76 : 5,344.26 = 2,474.51 : x
  2. Step 2: Convert to fraction form
    3,871.76/5,344.26 = 2,474.51/x
  3. Step 3: Cross multiply
    3,871.76x = 5,344.26 × 2,474.51
  4. Step 4: Simplify right side
    3,871.76x = 13,224,424.81
  5. Step 5: Solve for x
    x = 13,224,424.81/3,871.76
  6. Step 6: Final answer
    x = 3,415.61

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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.