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Finding the Fourth Proportional to 1,550.01, 2,138.52 and 886.80

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Solution

The fourth proportional to 1,550.01, 2,138.52 and 886.80 is: 1,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.01 : 2,138.52 = 886.80 : x
  2. Step 2: Convert to fraction form
    1,550.01/2,138.52 = 886.80/x
  3. Step 3: Cross multiply
    1,550.01x = 2,138.52 × 886.80
  4. Step 4: Simplify right side
    1,550.01x = 1,896,439.54
  5. Step 5: Solve for x
    x = 1,896,439.54/1,550.01
  6. Step 6: Final answer
    x = 1,223.50

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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.