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Finding the Fourth Proportional to 18,397, 25,390.74 and 10,949.32

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Solution

The fourth proportional to 18,397, 25,390.74 and 10,949.32 is: 15,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,397 : 25,390.74 = 10,949.32 : x
  2. Step 2: Convert to fraction form
    18,397/25,390.74 = 10,949.32/x
  3. Step 3: Cross multiply
    18,397x = 25,390.74 × 10,949.32
  4. Step 4: Simplify right side
    18,397x = 278,011,337.30
  5. Step 5: Solve for x
    x = 278,011,337.30/18,397
  6. Step 6: Final answer
    x = 15,111.78

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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.