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Finding the Fourth Proportional to 3,487.01, 5,229 and 1,021.78

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Solution

The fourth proportional to 3,487.01, 5,229 and 1,021.78 is: 1,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.01 : 5,229 = 1,021.78 : x
  2. Step 2: Convert to fraction form
    3,487.01/5,229 = 1,021.78/x
  3. Step 3: Cross multiply
    3,487.01x = 5,229 × 1,021.78
  4. Step 4: Simplify right side
    3,487.01x = 5,342,887.62
  5. Step 5: Solve for x
    x = 5,342,887.62/3,487.01
  6. Step 6: Final answer
    x = 1,532.23

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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.