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Finding the Fourth Proportional to 51,050, 70,449 and 28,694

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Solution

The fourth proportional to 51,050, 70,449 and 28,694 is: 39,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,050 : 70,449 = 28,694 : x
  2. Step 2: Convert to fraction form
    51,050/70,449 = 28,694/x
  3. Step 3: Cross multiply
    51,050x = 70,449 × 28,694
  4. Step 4: Simplify right side
    51,050x = 2,021,463,606
  5. Step 5: Solve for x
    x = 2,021,463,606/51,050
  6. Step 6: Final answer
    x = 39,597.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.