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Finding the Fourth Proportional to 1,338.52, 1,847.74 and 960.68

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Solution

The fourth proportional to 1,338.52, 1,847.74 and 960.68 is: 1,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.52 : 1,847.74 = 960.68 : x
  2. Step 2: Convert to fraction form
    1,338.52/1,847.74 = 960.68/x
  3. Step 3: Cross multiply
    1,338.52x = 1,847.74 × 960.68
  4. Step 4: Simplify right side
    1,338.52x = 1,775,086.86
  5. Step 5: Solve for x
    x = 1,775,086.86/1,338.52
  6. Step 6: Final answer
    x = 1,326.16

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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.