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Finding the Fourth Proportional to 36,578.12, 50,478 and 19,811.12

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Solution

The fourth proportional to 36,578.12, 50,478 and 19,811.12 is: 27,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.12 : 50,478 = 19,811.12 : x
  2. Step 2: Convert to fraction form
    36,578.12/50,478 = 19,811.12/x
  3. Step 3: Cross multiply
    36,578.12x = 50,478 × 19,811.12
  4. Step 4: Simplify right side
    36,578.12x = 1,000,025,715.36
  5. Step 5: Solve for x
    x = 1,000,025,715.36/36,578.12
  6. Step 6: Final answer
    x = 27,339.45

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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.