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Finding the Fourth Proportional to 3,881.84, 5,358.49 and 2,309.63

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Solution

The fourth proportional to 3,881.84, 5,358.49 and 2,309.63 is: 3,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.84 : 5,358.49 = 2,309.63 : x
  2. Step 2: Convert to fraction form
    3,881.84/5,358.49 = 2,309.63/x
  3. Step 3: Cross multiply
    3,881.84x = 5,358.49 × 2,309.63
  4. Step 4: Simplify right side
    3,881.84x = 12,376,096.69
  5. Step 5: Solve for x
    x = 12,376,096.69/3,881.84
  6. Step 6: Final answer
    x = 3,188.21

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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.