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Finding the Fourth Proportional to 19,670.86, 29,511.18 and 5,819.86

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Solution

The fourth proportional to 19,670.86, 29,511.18 and 5,819.86 is: 8,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.86 : 29,511.18 = 5,819.86 : x
  2. Step 2: Convert to fraction form
    19,670.86/29,511.18 = 5,819.86/x
  3. Step 3: Cross multiply
    19,670.86x = 29,511.18 × 5,819.86
  4. Step 4: Simplify right side
    19,670.86x = 171,750,936.03
  5. Step 5: Solve for x
    x = 171,750,936.03/19,670.86
  6. Step 6: Final answer
    x = 8,731.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.