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Finding the Fourth Proportional to 2,542.80, 3,809.72 and 2,226.93

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Solution

The fourth proportional to 2,542.80, 3,809.72 and 2,226.93 is: 3,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.80 : 3,809.72 = 2,226.93 : x
  2. Step 2: Convert to fraction form
    2,542.80/3,809.72 = 2,226.93/x
  3. Step 3: Cross multiply
    2,542.80x = 3,809.72 × 2,226.93
  4. Step 4: Simplify right side
    2,542.80x = 8,483,957.52
  5. Step 5: Solve for x
    x = 8,483,957.52/2,542.80
  6. Step 6: Final answer
    x = 3,336.46

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1.5x scale

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.