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Finding the Fourth Proportional to 6,168.40, 9,248 and 2,272.08

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Solution

The fourth proportional to 6,168.40, 9,248 and 2,272.08 is: 3,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.40 : 9,248 = 2,272.08 : x
  2. Step 2: Convert to fraction form
    6,168.40/9,248 = 2,272.08/x
  3. Step 3: Cross multiply
    6,168.40x = 9,248 × 2,272.08
  4. Step 4: Simplify right side
    6,168.40x = 21,012,195.84
  5. Step 5: Solve for x
    x = 21,012,195.84/6,168.40
  6. Step 6: Final answer
    x = 3,406.43

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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.