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Finding the Fourth Proportional to 3,887.84, 5,833.28 and 2,700.32

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Solution

The fourth proportional to 3,887.84, 5,833.28 and 2,700.32 is: 4,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.84 : 5,833.28 = 2,700.32 : x
  2. Step 2: Convert to fraction form
    3,887.84/5,833.28 = 2,700.32/x
  3. Step 3: Cross multiply
    3,887.84x = 5,833.28 × 2,700.32
  4. Step 4: Simplify right side
    3,887.84x = 15,751,722.65
  5. Step 5: Solve for x
    x = 15,751,722.65/3,887.84
  6. Step 6: Final answer
    x = 4,051.54

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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.