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Finding the Fourth Proportional to 8,835, 12,193.38 and 5,109

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Solution

The fourth proportional to 8,835, 12,193.38 and 5,109 is: 7,051.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835 : 12,193.38 = 5,109 : x
  2. Step 2: Convert to fraction form
    8,835/12,193.38 = 5,109/x
  3. Step 3: Cross multiply
    8,835x = 12,193.38 × 5,109
  4. Step 4: Simplify right side
    8,835x = 62,295,978.42
  5. Step 5: Solve for x
    x = 62,295,978.42/8,835
  6. Step 6: Final answer
    x = 7,051.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.