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Finding the Fourth Proportional to 8,197.84, 12,280.68 and 5,416

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Solution

The fourth proportional to 8,197.84, 12,280.68 and 5,416 is: 8,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.84 : 12,280.68 = 5,416 : x
  2. Step 2: Convert to fraction form
    8,197.84/12,280.68 = 5,416/x
  3. Step 3: Cross multiply
    8,197.84x = 12,280.68 × 5,416
  4. Step 4: Simplify right side
    8,197.84x = 66,512,162.88
  5. Step 5: Solve for x
    x = 66,512,162.88/8,197.84
  6. Step 6: Final answer
    x = 8,113.38

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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.