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Finding the Fourth Proportional to 51,978.75, 77,977.75 and 16,449

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Solution

The fourth proportional to 51,978.75, 77,977.75 and 16,449 is: 24,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,978.75 : 77,977.75 = 16,449 : x
  2. Step 2: Convert to fraction form
    51,978.75/77,977.75 = 16,449/x
  3. Step 3: Cross multiply
    51,978.75x = 77,977.75 × 16,449
  4. Step 4: Simplify right side
    51,978.75x = 1,282,656,009.75
  5. Step 5: Solve for x
    x = 1,282,656,009.75/51,978.75
  6. Step 6: Final answer
    x = 24,676.55

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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.