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Finding the Fourth Proportional to 5,180.99, 7,764.98 and 4,081.01

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Solution

The fourth proportional to 5,180.99, 7,764.98 and 4,081.01 is: 6,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.99 : 7,764.98 = 4,081.01 : x
  2. Step 2: Convert to fraction form
    5,180.99/7,764.98 = 4,081.01/x
  3. Step 3: Cross multiply
    5,180.99x = 7,764.98 × 4,081.01
  4. Step 4: Simplify right side
    5,180.99x = 31,688,901.80
  5. Step 5: Solve for x
    x = 31,688,901.80/5,180.99
  6. Step 6: Final answer
    x = 6,116.39

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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.