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Finding the Fourth Proportional to 8,823.29, 13,203.35 and 7,641.42

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Solution

The fourth proportional to 8,823.29, 13,203.35 and 7,641.42 is: 11,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.29 : 13,203.35 = 7,641.42 : x
  2. Step 2: Convert to fraction form
    8,823.29/13,203.35 = 7,641.42/x
  3. Step 3: Cross multiply
    8,823.29x = 13,203.35 × 7,641.42
  4. Step 4: Simplify right side
    8,823.29x = 100,892,333.21
  5. Step 5: Solve for x
    x = 100,892,333.21/8,823.29
  6. Step 6: Final answer
    x = 11,434.78

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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.