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Finding the Fourth Proportional to 8,909.67, 13,360.30 and 5,213.02

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Solution

The fourth proportional to 8,909.67, 13,360.30 and 5,213.02 is: 7,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.67 : 13,360.30 = 5,213.02 : x
  2. Step 2: Convert to fraction form
    8,909.67/13,360.30 = 5,213.02/x
  3. Step 3: Cross multiply
    8,909.67x = 13,360.30 × 5,213.02
  4. Step 4: Simplify right side
    8,909.67x = 69,647,511.11
  5. Step 5: Solve for x
    x = 69,647,511.11/8,909.67
  6. Step 6: Final answer
    x = 7,817.07

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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.