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Finding the Fourth Proportional to 5,144.50, 7,101.03 and 3,281.50

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Solution

The fourth proportional to 5,144.50, 7,101.03 and 3,281.50 is: 4,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.50 : 7,101.03 = 3,281.50 : x
  2. Step 2: Convert to fraction form
    5,144.50/7,101.03 = 3,281.50/x
  3. Step 3: Cross multiply
    5,144.50x = 7,101.03 × 3,281.50
  4. Step 4: Simplify right side
    5,144.50x = 23,302,029.95
  5. Step 5: Solve for x
    x = 23,302,029.95/5,144.50
  6. Step 6: Final answer
    x = 4,529.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.