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Finding the Fourth Proportional to 30,598.73, 45,898.50 and 11,879.83

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Solution

The fourth proportional to 30,598.73, 45,898.50 and 11,879.83 is: 17,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.73 : 45,898.50 = 11,879.83 : x
  2. Step 2: Convert to fraction form
    30,598.73/45,898.50 = 11,879.83/x
  3. Step 3: Cross multiply
    30,598.73x = 45,898.50 × 11,879.83
  4. Step 4: Simplify right side
    30,598.73x = 545,266,377.26
  5. Step 5: Solve for x
    x = 545,266,377.26/30,598.73
  6. Step 6: Final answer
    x = 17,819.90

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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.