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Finding the Fourth Proportional to 31,524, 47,301 and 19,674.54

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Solution

The fourth proportional to 31,524, 47,301 and 19,674.54 is: 29,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524 : 47,301 = 19,674.54 : x
  2. Step 2: Convert to fraction form
    31,524/47,301 = 19,674.54/x
  3. Step 3: Cross multiply
    31,524x = 47,301 × 19,674.54
  4. Step 4: Simplify right side
    31,524x = 930,625,416.54
  5. Step 5: Solve for x
    x = 930,625,416.54/31,524
  6. Step 6: Final answer
    x = 29,521.17

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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.