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Finding the Fourth Proportional to 3,838.19, 5,717.18 and 3,787.16

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Solution

The fourth proportional to 3,838.19, 5,717.18 and 3,787.16 is: 5,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.19 : 5,717.18 = 3,787.16 : x
  2. Step 2: Convert to fraction form
    3,838.19/5,717.18 = 3,787.16/x
  3. Step 3: Cross multiply
    3,838.19x = 5,717.18 × 3,787.16
  4. Step 4: Simplify right side
    3,838.19x = 21,651,856.29
  5. Step 5: Solve for x
    x = 21,651,856.29/3,838.19
  6. Step 6: Final answer
    x = 5,641.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.