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Finding the Fourth Proportional to 1,689.78, 2,330.73 and 1,550.36

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Solution

The fourth proportional to 1,689.78, 2,330.73 and 1,550.36 is: 2,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.78 : 2,330.73 = 1,550.36 : x
  2. Step 2: Convert to fraction form
    1,689.78/2,330.73 = 1,550.36/x
  3. Step 3: Cross multiply
    1,689.78x = 2,330.73 × 1,550.36
  4. Step 4: Simplify right side
    1,689.78x = 3,613,472.51
  5. Step 5: Solve for x
    x = 3,613,472.51/1,689.78
  6. Step 6: Final answer
    x = 2,138.42

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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.