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Finding the Fourth Proportional to 51,340, 70,849.20 and 28,984

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Solution

The fourth proportional to 51,340, 70,849.20 and 28,984 is: 39,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,340 : 70,849.20 = 28,984 : x
  2. Step 2: Convert to fraction form
    51,340/70,849.20 = 28,984/x
  3. Step 3: Cross multiply
    51,340x = 70,849.20 × 28,984
  4. Step 4: Simplify right side
    51,340x = 2,053,493,212.80
  5. Step 5: Solve for x
    x = 2,053,493,212.80/51,340
  6. Step 6: Final answer
    x = 39,997.92

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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.