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Finding the Fourth Proportional to 29,696.78, 40,981.80 and 16,269.28

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Solution

The fourth proportional to 29,696.78, 40,981.80 and 16,269.28 is: 22,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.78 : 40,981.80 = 16,269.28 : x
  2. Step 2: Convert to fraction form
    29,696.78/40,981.80 = 16,269.28/x
  3. Step 3: Cross multiply
    29,696.78x = 40,981.80 × 16,269.28
  4. Step 4: Simplify right side
    29,696.78x = 666,744,361.41
  5. Step 5: Solve for x
    x = 666,744,361.41/29,696.78
  6. Step 6: Final answer
    x = 22,451.74

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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.