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Finding the Fourth Proportional to 22,720, 31,351.08 and 12,646.12

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Solution

The fourth proportional to 22,720, 31,351.08 and 12,646.12 is: 17,450.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720 : 31,351.08 = 12,646.12 : x
  2. Step 2: Convert to fraction form
    22,720/31,351.08 = 12,646.12/x
  3. Step 3: Cross multiply
    22,720x = 31,351.08 × 12,646.12
  4. Step 4: Simplify right side
    22,720x = 396,469,519.81
  5. Step 5: Solve for x
    x = 396,469,519.81/22,720
  6. Step 6: Final answer
    x = 17,450.24

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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.