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Finding the Fourth Proportional to 11,451.57, 15,794.99 and 7,418.37

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Solution

The fourth proportional to 11,451.57, 15,794.99 and 7,418.37 is: 10,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.57 : 15,794.99 = 7,418.37 : x
  2. Step 2: Convert to fraction form
    11,451.57/15,794.99 = 7,418.37/x
  3. Step 3: Cross multiply
    11,451.57x = 15,794.99 × 7,418.37
  4. Step 4: Simplify right side
    11,451.57x = 117,173,042.87
  5. Step 5: Solve for x
    x = 117,173,042.87/11,451.57
  6. Step 6: Final answer
    x = 10,232.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.