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Finding the Fourth Proportional to 47,504, 71,256 and 19,802

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Solution

The fourth proportional to 47,504, 71,256 and 19,802 is: 29,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504 : 71,256 = 19,802 : x
  2. Step 2: Convert to fraction form
    47,504/71,256 = 19,802/x
  3. Step 3: Cross multiply
    47,504x = 71,256 × 19,802
  4. Step 4: Simplify right side
    47,504x = 1,411,011,312
  5. Step 5: Solve for x
    x = 1,411,011,312/47,504
  6. Step 6: Final answer
    x = 29,703

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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.