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Finding the Fourth Proportional to 25,236, 37,858.86 and 11,385

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Solution

The fourth proportional to 25,236, 37,858.86 and 11,385 is: 17,079.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,236 : 37,858.86 = 11,385 : x
  2. Step 2: Convert to fraction form
    25,236/37,858.86 = 11,385/x
  3. Step 3: Cross multiply
    25,236x = 37,858.86 × 11,385
  4. Step 4: Simplify right side
    25,236x = 431,023,121.10
  5. Step 5: Solve for x
    x = 431,023,121.10/25,236
  6. Step 6: Final answer
    x = 17,079.69

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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.