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Finding the Fourth Proportional to 22,545, 31,113.54 and 12,609

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Solution

The fourth proportional to 22,545, 31,113.54 and 12,609 is: 17,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 31,113.54 = 12,609 : x
  2. Step 2: Convert to fraction form
    22,545/31,113.54 = 12,609/x
  3. Step 3: Cross multiply
    22,545x = 31,113.54 × 12,609
  4. Step 4: Simplify right side
    22,545x = 392,310,625.86
  5. Step 5: Solve for x
    x = 392,310,625.86/22,545
  6. Step 6: Final answer
    x = 17,401.23

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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.