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Finding the Fourth Proportional to 6,138.99, 9,201.02 and 2,802.65

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Solution

The fourth proportional to 6,138.99, 9,201.02 and 2,802.65 is: 4,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.99 : 9,201.02 = 2,802.65 : x
  2. Step 2: Convert to fraction form
    6,138.99/9,201.02 = 2,802.65/x
  3. Step 3: Cross multiply
    6,138.99x = 9,201.02 × 2,802.65
  4. Step 4: Simplify right side
    6,138.99x = 25,787,238.32
  5. Step 5: Solve for x
    x = 25,787,238.32/6,138.99
  6. Step 6: Final answer
    x = 4,200.57

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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.