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Finding the Fourth Proportional to 31,389, 47,064.42 and 14,754

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Solution

The fourth proportional to 31,389, 47,064.42 and 14,754 is: 22,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389 : 47,064.42 = 14,754 : x
  2. Step 2: Convert to fraction form
    31,389/47,064.42 = 14,754/x
  3. Step 3: Cross multiply
    31,389x = 47,064.42 × 14,754
  4. Step 4: Simplify right side
    31,389x = 694,388,452.68
  5. Step 5: Solve for x
    x = 694,388,452.68/31,389
  6. Step 6: Final answer
    x = 22,122.03

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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.