Home / 3,864.32-5,796.76-1,916

Finding the Fourth Proportional to 3,864.32, 5,796.76 and 1,916

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Solution

The fourth proportional to 3,864.32, 5,796.76 and 1,916 is: 2,874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.32 : 5,796.76 = 1,916 : x
  2. Step 2: Convert to fraction form
    3,864.32/5,796.76 = 1,916/x
  3. Step 3: Cross multiply
    3,864.32x = 5,796.76 × 1,916
  4. Step 4: Simplify right side
    3,864.32x = 11,106,592.16
  5. Step 5: Solve for x
    x = 11,106,592.16/3,864.32
  6. Step 6: Final answer
    x = 2,874.14

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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.