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Finding the Fourth Proportional to 15,078.25, 20,809.10 and 8,365.17

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Solution

The fourth proportional to 15,078.25, 20,809.10 and 8,365.17 is: 11,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.25 : 20,809.10 = 8,365.17 : x
  2. Step 2: Convert to fraction form
    15,078.25/20,809.10 = 8,365.17/x
  3. Step 3: Cross multiply
    15,078.25x = 20,809.10 × 8,365.17
  4. Step 4: Simplify right side
    15,078.25x = 174,071,757.99
  5. Step 5: Solve for x
    x = 174,071,757.99/15,078.25
  6. Step 6: Final answer
    x = 11,544.56

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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.