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Finding the Fourth Proportional to 2,250, 3,091.94 and 2,147.10

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Solution

The fourth proportional to 2,250, 3,091.94 and 2,147.10 is: 2,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250 : 3,091.94 = 2,147.10 : x
  2. Step 2: Convert to fraction form
    2,250/3,091.94 = 2,147.10/x
  3. Step 3: Cross multiply
    2,250x = 3,091.94 × 2,147.10
  4. Step 4: Simplify right side
    2,250x = 6,638,693.64
  5. Step 5: Solve for x
    x = 6,638,693.64/2,250
  6. Step 6: Final answer
    x = 2,950.53

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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.