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Finding the Fourth Proportional to 6,912.52, 10,368.80 and 2,754.80

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Solution

The fourth proportional to 6,912.52, 10,368.80 and 2,754.80 is: 4,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.52 : 10,368.80 = 2,754.80 : x
  2. Step 2: Convert to fraction form
    6,912.52/10,368.80 = 2,754.80/x
  3. Step 3: Cross multiply
    6,912.52x = 10,368.80 × 2,754.80
  4. Step 4: Simplify right side
    6,912.52x = 28,563,970.24
  5. Step 5: Solve for x
    x = 28,563,970.24/6,912.52
  6. Step 6: Final answer
    x = 4,132.21

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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.