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Finding the Fourth Proportional to 36,470, 50,328.64 and 19,703

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Solution

The fourth proportional to 36,470, 50,328.64 and 19,703 is: 27,190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,470 : 50,328.64 = 19,703 : x
  2. Step 2: Convert to fraction form
    36,470/50,328.64 = 19,703/x
  3. Step 3: Cross multiply
    36,470x = 50,328.64 × 19,703
  4. Step 4: Simplify right side
    36,470x = 991,625,193.92
  5. Step 5: Solve for x
    x = 991,625,193.92/36,470
  6. Step 6: Final answer
    x = 27,190.16

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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.