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Finding the Fourth Proportional to 1,332.44, 1,998.62 and 1,252.28

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Solution

The fourth proportional to 1,332.44, 1,998.62 and 1,252.28 is: 1,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.44 : 1,998.62 = 1,252.28 : x
  2. Step 2: Convert to fraction form
    1,332.44/1,998.62 = 1,252.28/x
  3. Step 3: Cross multiply
    1,332.44x = 1,998.62 × 1,252.28
  4. Step 4: Simplify right side
    1,332.44x = 2,502,831.85
  5. Step 5: Solve for x
    x = 2,502,831.85/1,332.44
  6. Step 6: Final answer
    x = 1,878.38

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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.