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Finding the Fourth Proportional to 51,300, 70,794 and 28,944

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Solution

The fourth proportional to 51,300, 70,794 and 28,944 is: 39,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,300 : 70,794 = 28,944 : x
  2. Step 2: Convert to fraction form
    51,300/70,794 = 28,944/x
  3. Step 3: Cross multiply
    51,300x = 70,794 × 28,944
  4. Step 4: Simplify right side
    51,300x = 2,049,061,536
  5. Step 5: Solve for x
    x = 2,049,061,536/51,300
  6. Step 6: Final answer
    x = 39,942.72

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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.