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Finding the Fourth Proportional to 37,686, 52,006.68 and 20,919.12

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Solution

The fourth proportional to 37,686, 52,006.68 and 20,919.12 is: 28,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686 : 52,006.68 = 20,919.12 : x
  2. Step 2: Convert to fraction form
    37,686/52,006.68 = 20,919.12/x
  3. Step 3: Cross multiply
    37,686x = 52,006.68 × 20,919.12
  4. Step 4: Simplify right side
    37,686x = 1,087,933,979.72
  5. Step 5: Solve for x
    x = 1,087,933,979.72/37,686
  6. Step 6: Final answer
    x = 28,868.39

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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.