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Finding the Fourth Proportional to 8,814, 13,223.20 and 2,658

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Solution

The fourth proportional to 8,814, 13,223.20 and 2,658 is: 3,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814 : 13,223.20 = 2,658 : x
  2. Step 2: Convert to fraction form
    8,814/13,223.20 = 2,658/x
  3. Step 3: Cross multiply
    8,814x = 13,223.20 × 2,658
  4. Step 4: Simplify right side
    8,814x = 35,147,265.60
  5. Step 5: Solve for x
    x = 35,147,265.60/8,814
  6. Step 6: Final answer
    x = 3,987.66

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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.