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Finding the Fourth Proportional to 2,572.78, 3,855.92 and 2,226.10

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Solution

The fourth proportional to 2,572.78, 3,855.92 and 2,226.10 is: 3,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.78 : 3,855.92 = 2,226.10 : x
  2. Step 2: Convert to fraction form
    2,572.78/3,855.92 = 2,226.10/x
  3. Step 3: Cross multiply
    2,572.78x = 3,855.92 × 2,226.10
  4. Step 4: Simplify right side
    2,572.78x = 8,583,663.51
  5. Step 5: Solve for x
    x = 8,583,663.51/2,572.78
  6. Step 6: Final answer
    x = 3,336.34

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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.