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Finding the Fourth Proportional to 2,086.40, 3,129.48 and 526.38

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Solution

The fourth proportional to 2,086.40, 3,129.48 and 526.38 is: 789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.40 : 3,129.48 = 526.38 : x
  2. Step 2: Convert to fraction form
    2,086.40/3,129.48 = 526.38/x
  3. Step 3: Cross multiply
    2,086.40x = 3,129.48 × 526.38
  4. Step 4: Simplify right side
    2,086.40x = 1,647,295.68
  5. Step 5: Solve for x
    x = 1,647,295.68/2,086.40
  6. Step 6: Final answer
    x = 789.54

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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.