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Finding the Fourth Proportional to 3,858.47, 5,787.68 and 936.76

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Solution

The fourth proportional to 3,858.47, 5,787.68 and 936.76 is: 1,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.47 : 5,787.68 = 936.76 : x
  2. Step 2: Convert to fraction form
    3,858.47/5,787.68 = 936.76/x
  3. Step 3: Cross multiply
    3,858.47x = 5,787.68 × 936.76
  4. Step 4: Simplify right side
    3,858.47x = 5,421,638.18
  5. Step 5: Solve for x
    x = 5,421,638.18/3,858.47
  6. Step 6: Final answer
    x = 1,405.13

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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.