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Finding the Fourth Proportional to 1,335.42, 1,993.49 and 1,275.51

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Solution

The fourth proportional to 1,335.42, 1,993.49 and 1,275.51 is: 1,904.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.42 : 1,993.49 = 1,275.51 : x
  2. Step 2: Convert to fraction form
    1,335.42/1,993.49 = 1,275.51/x
  3. Step 3: Cross multiply
    1,335.42x = 1,993.49 × 1,275.51
  4. Step 4: Simplify right side
    1,335.42x = 2,542,716.43
  5. Step 5: Solve for x
    x = 2,542,716.43/1,335.42
  6. Step 6: Final answer
    x = 1,904.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.