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Finding the Fourth Proportional to 29,680, 40,959.04 and 17,102.72

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Solution

The fourth proportional to 29,680, 40,959.04 and 17,102.72 is: 23,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680 : 40,959.04 = 17,102.72 : x
  2. Step 2: Convert to fraction form
    29,680/40,959.04 = 17,102.72/x
  3. Step 3: Cross multiply
    29,680x = 40,959.04 × 17,102.72
  4. Step 4: Simplify right side
    29,680x = 700,510,992.59
  5. Step 5: Solve for x
    x = 700,510,992.59/29,680
  6. Step 6: Final answer
    x = 23,602.12

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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.