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Finding the Fourth Proportional to 51,975, 77,975.49 and 15,039

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Solution

The fourth proportional to 51,975, 77,975.49 and 15,039 is: 22,562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975 : 77,975.49 = 15,039 : x
  2. Step 2: Convert to fraction form
    51,975/77,975.49 = 15,039/x
  3. Step 3: Cross multiply
    51,975x = 77,975.49 × 15,039
  4. Step 4: Simplify right side
    51,975x = 1,172,673,394.11
  5. Step 5: Solve for x
    x = 1,172,673,394.11/51,975
  6. Step 6: Final answer
    x = 22,562.26

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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.