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Finding the Fourth Proportional to 1,089.90, 1,627.92 and 936.27

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Solution

The fourth proportional to 1,089.90, 1,627.92 and 936.27 is: 1,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,627.92 = 936.27 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,627.92 = 936.27/x
  3. Step 3: Cross multiply
    1,089.90x = 1,627.92 × 936.27
  4. Step 4: Simplify right side
    1,089.90x = 1,524,172.66
  5. Step 5: Solve for x
    x = 1,524,172.66/1,089.90
  6. Step 6: Final answer
    x = 1,398.45

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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.