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Finding the Fourth Proportional to 6,398.90, 9,597.72 and 2,238.14

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Solution

The fourth proportional to 6,398.90, 9,597.72 and 2,238.14 is: 3,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.90 : 9,597.72 = 2,238.14 : x
  2. Step 2: Convert to fraction form
    6,398.90/9,597.72 = 2,238.14/x
  3. Step 3: Cross multiply
    6,398.90x = 9,597.72 × 2,238.14
  4. Step 4: Simplify right side
    6,398.90x = 21,481,041.04
  5. Step 5: Solve for x
    x = 21,481,041.04/6,398.90
  6. Step 6: Final answer
    x = 3,356.99

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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.