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Finding the Fourth Proportional to 1,550.91, 2,140.22 and 842.73

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Solution

The fourth proportional to 1,550.91, 2,140.22 and 842.73 is: 1,162.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.91 : 2,140.22 = 842.73 : x
  2. Step 2: Convert to fraction form
    1,550.91/2,140.22 = 842.73/x
  3. Step 3: Cross multiply
    1,550.91x = 2,140.22 × 842.73
  4. Step 4: Simplify right side
    1,550.91x = 1,803,623.39
  5. Step 5: Solve for x
    x = 1,803,623.39/1,550.91
  6. Step 6: Final answer
    x = 1,162.95

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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.