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Finding the Fourth Proportional to 3,100.99, 4,650.96 and 1,021.02

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Solution

The fourth proportional to 3,100.99, 4,650.96 and 1,021.02 is: 1,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.99 : 4,650.96 = 1,021.02 : x
  2. Step 2: Convert to fraction form
    3,100.99/4,650.96 = 1,021.02/x
  3. Step 3: Cross multiply
    3,100.99x = 4,650.96 × 1,021.02
  4. Step 4: Simplify right side
    3,100.99x = 4,748,723.18
  5. Step 5: Solve for x
    x = 4,748,723.18/3,100.99
  6. Step 6: Final answer
    x = 1,531.36

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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.