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Finding the Fourth Proportional to 6,201.50, 9,296.75 and 2,303.17

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Solution

The fourth proportional to 6,201.50, 9,296.75 and 2,303.17 is: 3,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.50 : 9,296.75 = 2,303.17 : x
  2. Step 2: Convert to fraction form
    6,201.50/9,296.75 = 2,303.17/x
  3. Step 3: Cross multiply
    6,201.50x = 9,296.75 × 2,303.17
  4. Step 4: Simplify right side
    6,201.50x = 21,411,978.21
  5. Step 5: Solve for x
    x = 21,411,978.21/6,201.50
  6. Step 6: Final answer
    x = 3,452.71

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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.