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Finding the Fourth Proportional to 7,254, 10,878.84 and 4,912.56

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Solution

The fourth proportional to 7,254, 10,878.84 and 4,912.56 is: 7,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254 : 10,878.84 = 4,912.56 : x
  2. Step 2: Convert to fraction form
    7,254/10,878.84 = 4,912.56/x
  3. Step 3: Cross multiply
    7,254x = 10,878.84 × 4,912.56
  4. Step 4: Simplify right side
    7,254x = 53,442,954.23
  5. Step 5: Solve for x
    x = 53,442,954.23/7,254
  6. Step 6: Final answer
    x = 7,367.38

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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.