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Finding the Fourth Proportional to 2,117.98, 2,896.88 and 2,083.96

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Solution

The fourth proportional to 2,117.98, 2,896.88 and 2,083.96 is: 2,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.98 : 2,896.88 = 2,083.96 : x
  2. Step 2: Convert to fraction form
    2,117.98/2,896.88 = 2,083.96/x
  3. Step 3: Cross multiply
    2,117.98x = 2,896.88 × 2,083.96
  4. Step 4: Simplify right side
    2,117.98x = 6,036,982.04
  5. Step 5: Solve for x
    x = 6,036,982.04/2,117.98
  6. Step 6: Final answer
    x = 2,850.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.