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Finding the Fourth Proportional to 7,472.98, 11,209.47 and 2,278.81

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Solution

The fourth proportional to 7,472.98, 11,209.47 and 2,278.81 is: 3,418.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.98 : 11,209.47 = 2,278.81 : x
  2. Step 2: Convert to fraction form
    7,472.98/11,209.47 = 2,278.81/x
  3. Step 3: Cross multiply
    7,472.98x = 11,209.47 × 2,278.81
  4. Step 4: Simplify right side
    7,472.98x = 25,544,252.33
  5. Step 5: Solve for x
    x = 25,544,252.33/7,472.98
  6. Step 6: Final answer
    x = 3,418.22

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1.5x scale

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.