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Finding the Fourth Proportional to 7,275, 10,912.34 and 2,277.42

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Solution

The fourth proportional to 7,275, 10,912.34 and 2,277.42 is: 3,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,275 : 10,912.34 = 2,277.42 : x
  2. Step 2: Convert to fraction form
    7,275/10,912.34 = 2,277.42/x
  3. Step 3: Cross multiply
    7,275x = 10,912.34 × 2,277.42
  4. Step 4: Simplify right side
    7,275x = 24,851,981.36
  5. Step 5: Solve for x
    x = 24,851,981.36/7,275
  6. Step 6: Final answer
    x = 3,416.08

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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.