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Finding the Fourth Proportional to 31,859.77, 47,724.03 and 18,680.36

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Solution

The fourth proportional to 31,859.77, 47,724.03 and 18,680.36 is: 27,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,859.77 : 47,724.03 = 18,680.36 : x
  2. Step 2: Convert to fraction form
    31,859.77/47,724.03 = 18,680.36/x
  3. Step 3: Cross multiply
    31,859.77x = 47,724.03 × 18,680.36
  4. Step 4: Simplify right side
    31,859.77x = 891,502,001.40
  5. Step 5: Solve for x
    x = 891,502,001.40/31,859.77
  6. Step 6: Final answer
    x = 27,982.06

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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.