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Finding the Fourth Proportional to 23,251.19, 32,086.73 and 13,819.82

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Solution

The fourth proportional to 23,251.19, 32,086.73 and 13,819.82 is: 19,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.19 : 32,086.73 = 13,819.82 : x
  2. Step 2: Convert to fraction form
    23,251.19/32,086.73 = 13,819.82/x
  3. Step 3: Cross multiply
    23,251.19x = 32,086.73 × 13,819.82
  4. Step 4: Simplify right side
    23,251.19x = 443,432,707.10
  5. Step 5: Solve for x
    x = 443,432,707.10/23,251.19
  6. Step 6: Final answer
    x = 19,071.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.