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Finding the Fourth Proportional to 5,324.85, 7,987.86 and 1,429.56

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Solution

The fourth proportional to 5,324.85, 7,987.86 and 1,429.56 is: 2,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.85 : 7,987.86 = 1,429.56 : x
  2. Step 2: Convert to fraction form
    5,324.85/7,987.86 = 1,429.56/x
  3. Step 3: Cross multiply
    5,324.85x = 7,987.86 × 1,429.56
  4. Step 4: Simplify right side
    5,324.85x = 11,419,125.14
  5. Step 5: Solve for x
    x = 11,419,125.14/5,324.85
  6. Step 6: Final answer
    x = 2,144.50

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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.