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Finding the Fourth Proportional to 1,332.67, 1,995.91 and 1,286.53

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Solution

The fourth proportional to 1,332.67, 1,995.91 and 1,286.53 is: 1,926.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.67 : 1,995.91 = 1,286.53 : x
  2. Step 2: Convert to fraction form
    1,332.67/1,995.91 = 1,286.53/x
  3. Step 3: Cross multiply
    1,332.67x = 1,995.91 × 1,286.53
  4. Step 4: Simplify right side
    1,332.67x = 2,567,798.09
  5. Step 5: Solve for x
    x = 2,567,798.09/1,332.67
  6. Step 6: Final answer
    x = 1,926.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.