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Finding the Fourth Proportional to 47,500, 71,250 and 19,798

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Solution

The fourth proportional to 47,500, 71,250 and 19,798 is: 29,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,500 : 71,250 = 19,798 : x
  2. Step 2: Convert to fraction form
    47,500/71,250 = 19,798/x
  3. Step 3: Cross multiply
    47,500x = 71,250 × 19,798
  4. Step 4: Simplify right side
    47,500x = 1,410,607,500
  5. Step 5: Solve for x
    x = 1,410,607,500/47,500
  6. Step 6: Final answer
    x = 29,697

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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.