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Finding the Fourth Proportional to 19,879.48, 29,819.24 and 9,341.77

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Solution

The fourth proportional to 19,879.48, 29,819.24 and 9,341.77 is: 14,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.48 : 29,819.24 = 9,341.77 : x
  2. Step 2: Convert to fraction form
    19,879.48/29,819.24 = 9,341.77/x
  3. Step 3: Cross multiply
    19,879.48x = 29,819.24 × 9,341.77
  4. Step 4: Simplify right side
    19,879.48x = 278,564,535.21
  5. Step 5: Solve for x
    x = 278,564,535.21/19,879.48
  6. Step 6: Final answer
    x = 14,012.66

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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.