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Finding the Fourth Proportional to 22,636.65, 31,237.10 and 12,564.61

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Solution

The fourth proportional to 22,636.65, 31,237.10 and 12,564.61 is: 17,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.65 : 31,237.10 = 12,564.61 : x
  2. Step 2: Convert to fraction form
    22,636.65/31,237.10 = 12,564.61/x
  3. Step 3: Cross multiply
    22,636.65x = 31,237.10 × 12,564.61
  4. Step 4: Simplify right side
    22,636.65x = 392,481,979.03
  5. Step 5: Solve for x
    x = 392,481,979.03/22,636.65
  6. Step 6: Final answer
    x = 17,338.34

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1.5x scale

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.