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Finding the Fourth Proportional to 29,706.32, 40,992 and 17,128.64

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Solution

The fourth proportional to 29,706.32, 40,992 and 17,128.64 is: 23,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.32 : 40,992 = 17,128.64 : x
  2. Step 2: Convert to fraction form
    29,706.32/40,992 = 17,128.64/x
  3. Step 3: Cross multiply
    29,706.32x = 40,992 × 17,128.64
  4. Step 4: Simplify right side
    29,706.32x = 702,137,210.88
  5. Step 5: Solve for x
    x = 702,137,210.88/29,706.32
  6. Step 6: Final answer
    x = 23,635.95

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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.