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Finding the Fourth Proportional to 17,805, 24,554.64 and 15,286.31

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Solution

The fourth proportional to 17,805, 24,554.64 and 15,286.31 is: 21,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805 : 24,554.64 = 15,286.31 : x
  2. Step 2: Convert to fraction form
    17,805/24,554.64 = 15,286.31/x
  3. Step 3: Cross multiply
    17,805x = 24,554.64 × 15,286.31
  4. Step 4: Simplify right side
    17,805x = 375,349,716.21
  5. Step 5: Solve for x
    x = 375,349,716.21/17,805
  6. Step 6: Final answer
    x = 21,081.14

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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.