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Finding the Fourth Proportional to 2,528.82, 3,788.20 and 2,009.71

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Solution

The fourth proportional to 2,528.82, 3,788.20 and 2,009.71 is: 3,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.82 : 3,788.20 = 2,009.71 : x
  2. Step 2: Convert to fraction form
    2,528.82/3,788.20 = 2,009.71/x
  3. Step 3: Cross multiply
    2,528.82x = 3,788.20 × 2,009.71
  4. Step 4: Simplify right side
    2,528.82x = 7,613,190.67
  5. Step 5: Solve for x
    x = 7,613,190.67/2,528.82
  6. Step 6: Final answer
    x = 3,010.57

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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.