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Finding the Fourth Proportional to 51,977, 77,978.49 and 15,041

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Solution

The fourth proportional to 51,977, 77,978.49 and 15,041 is: 22,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 77,978.49 = 15,041 : x
  2. Step 2: Convert to fraction form
    51,977/77,978.49 = 15,041/x
  3. Step 3: Cross multiply
    51,977x = 77,978.49 × 15,041
  4. Step 4: Simplify right side
    51,977x = 1,172,874,468.09
  5. Step 5: Solve for x
    x = 1,172,874,468.09/51,977
  6. Step 6: Final answer
    x = 22,565.26

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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.