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Finding the Fourth Proportional to 19,884, 29,826 and 7,403.76

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Solution

The fourth proportional to 19,884, 29,826 and 7,403.76 is: 11,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884 : 29,826 = 7,403.76 : x
  2. Step 2: Convert to fraction form
    19,884/29,826 = 7,403.76/x
  3. Step 3: Cross multiply
    19,884x = 29,826 × 7,403.76
  4. Step 4: Simplify right side
    19,884x = 220,824,545.76
  5. Step 5: Solve for x
    x = 220,824,545.76/19,884
  6. Step 6: Final answer
    x = 11,105.64

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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.