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Finding the Fourth Proportional to 1,757.68, 2,425.44 and 971.68

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Solution

The fourth proportional to 1,757.68, 2,425.44 and 971.68 is: 1,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.68 : 2,425.44 = 971.68 : x
  2. Step 2: Convert to fraction form
    1,757.68/2,425.44 = 971.68/x
  3. Step 3: Cross multiply
    1,757.68x = 2,425.44 × 971.68
  4. Step 4: Simplify right side
    1,757.68x = 2,356,751.54
  5. Step 5: Solve for x
    x = 2,356,751.54/1,757.68
  6. Step 6: Final answer
    x = 1,340.83

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1.5x scale

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.