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Finding the Fourth Proportional to 1,757.31, 2,425.10 and 971.41

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Solution

The fourth proportional to 1,757.31, 2,425.10 and 971.41 is: 1,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.31 : 2,425.10 = 971.41 : x
  2. Step 2: Convert to fraction form
    1,757.31/2,425.10 = 971.41/x
  3. Step 3: Cross multiply
    1,757.31x = 2,425.10 × 971.41
  4. Step 4: Simplify right side
    1,757.31x = 2,355,766.39
  5. Step 5: Solve for x
    x = 2,355,766.39/1,757.31
  6. Step 6: Final answer
    x = 1,340.55

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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.