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Finding the Fourth Proportional to 3,896, 5,376.98 and 2,572.46

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Solution

The fourth proportional to 3,896, 5,376.98 and 2,572.46 is: 3,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896 : 5,376.98 = 2,572.46 : x
  2. Step 2: Convert to fraction form
    3,896/5,376.98 = 2,572.46/x
  3. Step 3: Cross multiply
    3,896x = 5,376.98 × 2,572.46
  4. Step 4: Simplify right side
    3,896x = 13,832,065.97
  5. Step 5: Solve for x
    x = 13,832,065.97/3,896
  6. Step 6: Final answer
    x = 3,550.32

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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.