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Finding the Fourth Proportional to 29,696.76, 40,981.80 and 17,121.50

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Solution

The fourth proportional to 29,696.76, 40,981.80 and 17,121.50 is: 23,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.76 : 40,981.80 = 17,121.50 : x
  2. Step 2: Convert to fraction form
    29,696.76/40,981.80 = 17,121.50/x
  3. Step 3: Cross multiply
    29,696.76x = 40,981.80 × 17,121.50
  4. Step 4: Simplify right side
    29,696.76x = 701,669,888.70
  5. Step 5: Solve for x
    x = 701,669,888.70/29,696.76
  6. Step 6: Final answer
    x = 23,627.83

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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.