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Finding the Fourth Proportional to 3,856.36, 5,321.82 and 2,088

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Solution

The fourth proportional to 3,856.36, 5,321.82 and 2,088 is: 2,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.36 : 5,321.82 = 2,088 : x
  2. Step 2: Convert to fraction form
    3,856.36/5,321.82 = 2,088/x
  3. Step 3: Cross multiply
    3,856.36x = 5,321.82 × 2,088
  4. Step 4: Simplify right side
    3,856.36x = 11,111,960.16
  5. Step 5: Solve for x
    x = 11,111,960.16/3,856.36
  6. Step 6: Final answer
    x = 2,881.46

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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.