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Finding the Fourth Proportional to 18,357, 25,334.82 and 10,905

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Solution

The fourth proportional to 18,357, 25,334.82 and 10,905 is: 15,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357 : 25,334.82 = 10,905 : x
  2. Step 2: Convert to fraction form
    18,357/25,334.82 = 10,905/x
  3. Step 3: Cross multiply
    18,357x = 25,334.82 × 10,905
  4. Step 4: Simplify right side
    18,357x = 276,276,212.10
  5. Step 5: Solve for x
    x = 276,276,212.10/18,357
  6. Step 6: Final answer
    x = 15,050.18

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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.