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Finding the Fourth Proportional to 20,506, 28,298.29 and 11,074.57

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Solution

The fourth proportional to 20,506, 28,298.29 and 11,074.57 is: 15,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506 : 28,298.29 = 11,074.57 : x
  2. Step 2: Convert to fraction form
    20,506/28,298.29 = 11,074.57/x
  3. Step 3: Cross multiply
    20,506x = 28,298.29 × 11,074.57
  4. Step 4: Simplify right side
    20,506x = 313,391,196.62
  5. Step 5: Solve for x
    x = 313,391,196.62/20,506
  6. Step 6: Final answer
    x = 15,282.90

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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.