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Finding the Fourth Proportional to 1,969, 2,717.24 and 1,141.48

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Solution

The fourth proportional to 1,969, 2,717.24 and 1,141.48 is: 1,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969 : 2,717.24 = 1,141.48 : x
  2. Step 2: Convert to fraction form
    1,969/2,717.24 = 1,141.48/x
  3. Step 3: Cross multiply
    1,969x = 2,717.24 × 1,141.48
  4. Step 4: Simplify right side
    1,969x = 3,101,675.12
  5. Step 5: Solve for x
    x = 3,101,675.12/1,969
  6. Step 6: Final answer
    x = 1,575.25

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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.