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Finding the Fourth Proportional to 17,415, 26,122.86 and 5,103

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Solution

The fourth proportional to 17,415, 26,122.86 and 5,103 is: 7,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,415 : 26,122.86 = 5,103 : x
  2. Step 2: Convert to fraction form
    17,415/26,122.86 = 5,103/x
  3. Step 3: Cross multiply
    17,415x = 26,122.86 × 5,103
  4. Step 4: Simplify right side
    17,415x = 133,304,954.58
  5. Step 5: Solve for x
    x = 133,304,954.58/17,415
  6. Step 6: Final answer
    x = 7,654.61

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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.