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Finding the Fourth Proportional to 21,138.77, 31,713.02 and 6,347.97

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Solution

The fourth proportional to 21,138.77, 31,713.02 and 6,347.97 is: 9,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.77 : 31,713.02 = 6,347.97 : x
  2. Step 2: Convert to fraction form
    21,138.77/31,713.02 = 6,347.97/x
  3. Step 3: Cross multiply
    21,138.77x = 31,713.02 × 6,347.97
  4. Step 4: Simplify right side
    21,138.77x = 201,313,109.26
  5. Step 5: Solve for x
    x = 201,313,109.26/21,138.77
  6. Step 6: Final answer
    x = 9,523.41

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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.