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Finding the Fourth Proportional to 6,945.84, 10,418.88 and 3,049.20

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Solution

The fourth proportional to 6,945.84, 10,418.88 and 3,049.20 is: 4,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.84 : 10,418.88 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    6,945.84/10,418.88 = 3,049.20/x
  3. Step 3: Cross multiply
    6,945.84x = 10,418.88 × 3,049.20
  4. Step 4: Simplify right side
    6,945.84x = 31,769,248.90
  5. Step 5: Solve for x
    x = 31,769,248.90/6,945.84
  6. Step 6: Final answer
    x = 4,573.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.