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Finding the Fourth Proportional to 5,324.92, 7,986.54 and 1,429.64

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Solution

The fourth proportional to 5,324.92, 7,986.54 and 1,429.64 is: 2,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.92 : 7,986.54 = 1,429.64 : x
  2. Step 2: Convert to fraction form
    5,324.92/7,986.54 = 1,429.64/x
  3. Step 3: Cross multiply
    5,324.92x = 7,986.54 × 1,429.64
  4. Step 4: Simplify right side
    5,324.92x = 11,417,877.05
  5. Step 5: Solve for x
    x = 11,417,877.05/5,324.92
  6. Step 6: Final answer
    x = 2,144.23

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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.