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Finding the Fourth Proportional to 1,757.68, 2,425.56 and 971.72

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Solution

The fourth proportional to 1,757.68, 2,425.56 and 971.72 is: 1,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.68 : 2,425.56 = 971.72 : x
  2. Step 2: Convert to fraction form
    1,757.68/2,425.56 = 971.72/x
  3. Step 3: Cross multiply
    1,757.68x = 2,425.56 × 971.72
  4. Step 4: Simplify right side
    1,757.68x = 2,356,965.16
  5. Step 5: Solve for x
    x = 2,356,965.16/1,757.68
  6. Step 6: Final answer
    x = 1,340.95

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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.