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Finding the Fourth Proportional to 22,552.32, 31,121.91 and 12,480

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Solution

The fourth proportional to 22,552.32, 31,121.91 and 12,480 is: 17,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,552.32 : 31,121.91 = 12,480 : x
  2. Step 2: Convert to fraction form
    22,552.32/31,121.91 = 12,480/x
  3. Step 3: Cross multiply
    22,552.32x = 31,121.91 × 12,480
  4. Step 4: Simplify right side
    22,552.32x = 388,401,436.80
  5. Step 5: Solve for x
    x = 388,401,436.80/22,552.32
  6. Step 6: Final answer
    x = 17,222.24

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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.