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Finding the Fourth Proportional to 3,901.62, 5,384.16 and 2,133.30

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Solution

The fourth proportional to 3,901.62, 5,384.16 and 2,133.30 is: 2,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.62 : 5,384.16 = 2,133.30 : x
  2. Step 2: Convert to fraction form
    3,901.62/5,384.16 = 2,133.30/x
  3. Step 3: Cross multiply
    3,901.62x = 5,384.16 × 2,133.30
  4. Step 4: Simplify right side
    3,901.62x = 11,486,028.53
  5. Step 5: Solve for x
    x = 11,486,028.53/3,901.62
  6. Step 6: Final answer
    x = 2,943.91

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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.