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Finding the Fourth Proportional to 36,506, 50,380.04 and 20,590.09

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Solution

The fourth proportional to 36,506, 50,380.04 and 20,590.09 is: 28,415.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506 : 50,380.04 = 20,590.09 : x
  2. Step 2: Convert to fraction form
    36,506/50,380.04 = 20,590.09/x
  3. Step 3: Cross multiply
    36,506x = 50,380.04 × 20,590.09
  4. Step 4: Simplify right side
    36,506x = 1,037,329,557.80
  5. Step 5: Solve for x
    x = 1,037,329,557.80/36,506
  6. Step 6: Final answer
    x = 28,415.32

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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.