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Finding the Fourth Proportional to 19,887.53, 29,829.73 and 8,794.58

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Solution

The fourth proportional to 19,887.53, 29,829.73 and 8,794.58 is: 13,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887.53 : 29,829.73 = 8,794.58 : x
  2. Step 2: Convert to fraction form
    19,887.53/29,829.73 = 8,794.58/x
  3. Step 3: Cross multiply
    19,887.53x = 29,829.73 × 8,794.58
  4. Step 4: Simplify right side
    19,887.53x = 262,339,946.86
  5. Step 5: Solve for x
    x = 262,339,946.86/19,887.53
  6. Step 6: Final answer
    x = 13,191.18

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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.