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Finding the Fourth Proportional to 29,696.80, 40,985.04 and 17,122

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Solution

The fourth proportional to 29,696.80, 40,985.04 and 17,122 is: 23,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.80 : 40,985.04 = 17,122 : x
  2. Step 2: Convert to fraction form
    29,696.80/40,985.04 = 17,122/x
  3. Step 3: Cross multiply
    29,696.80x = 40,985.04 × 17,122
  4. Step 4: Simplify right side
    29,696.80x = 701,745,854.88
  5. Step 5: Solve for x
    x = 701,745,854.88/29,696.80
  6. Step 6: Final answer
    x = 23,630.35

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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.