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Finding the Fourth Proportional to 22,614, 31,207.32 and 13,782

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Solution

The fourth proportional to 22,614, 31,207.32 and 13,782 is: 19,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614 : 31,207.32 = 13,782 : x
  2. Step 2: Convert to fraction form
    22,614/31,207.32 = 13,782/x
  3. Step 3: Cross multiply
    22,614x = 31,207.32 × 13,782
  4. Step 4: Simplify right side
    22,614x = 430,099,284.24
  5. Step 5: Solve for x
    x = 430,099,284.24/22,614
  6. Step 6: Final answer
    x = 19,019.16

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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.