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Finding the Fourth Proportional to 2,570.96, 3,854.81 and 2,181.09

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Solution

The fourth proportional to 2,570.96, 3,854.81 and 2,181.09 is: 3,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.96 : 3,854.81 = 2,181.09 : x
  2. Step 2: Convert to fraction form
    2,570.96/3,854.81 = 2,181.09/x
  3. Step 3: Cross multiply
    2,570.96x = 3,854.81 × 2,181.09
  4. Step 4: Simplify right side
    2,570.96x = 8,407,686.27
  5. Step 5: Solve for x
    x = 8,407,686.27/2,570.96
  6. Step 6: Final answer
    x = 3,270.25

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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.