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Finding the Fourth Proportional to 1,757.22, 2,424.92 and 971.26

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Solution

The fourth proportional to 1,757.22, 2,424.92 and 971.26 is: 1,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.22 : 2,424.92 = 971.26 : x
  2. Step 2: Convert to fraction form
    1,757.22/2,424.92 = 971.26/x
  3. Step 3: Cross multiply
    1,757.22x = 2,424.92 × 971.26
  4. Step 4: Simplify right side
    1,757.22x = 2,355,227.80
  5. Step 5: Solve for x
    x = 2,355,227.80/1,757.22
  6. Step 6: Final answer
    x = 1,340.31

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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.