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Finding the Fourth Proportional to 10,201, 15,286.90 and 5,809.39

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Solution

The fourth proportional to 10,201, 15,286.90 and 5,809.39 is: 8,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201 : 15,286.90 = 5,809.39 : x
  2. Step 2: Convert to fraction form
    10,201/15,286.90 = 5,809.39/x
  3. Step 3: Cross multiply
    10,201x = 15,286.90 × 5,809.39
  4. Step 4: Simplify right side
    10,201x = 88,807,563.99
  5. Step 5: Solve for x
    x = 88,807,563.99/10,201
  6. Step 6: Final answer
    x = 8,705.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.