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Finding the Fourth Proportional to 31,469, 47,203.50 and 13,001.48

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Solution

The fourth proportional to 31,469, 47,203.50 and 13,001.48 is: 19,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469 : 47,203.50 = 13,001.48 : x
  2. Step 2: Convert to fraction form
    31,469/47,203.50 = 13,001.48/x
  3. Step 3: Cross multiply
    31,469x = 47,203.50 × 13,001.48
  4. Step 4: Simplify right side
    31,469x = 613,715,361.18
  5. Step 5: Solve for x
    x = 613,715,361.18/31,469
  6. Step 6: Final answer
    x = 19,502.22

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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.