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Finding the Fourth Proportional to 8,133, 12,200.13 and 3,516

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Solution

The fourth proportional to 8,133, 12,200.13 and 3,516 is: 5,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133 : 12,200.13 = 3,516 : x
  2. Step 2: Convert to fraction form
    8,133/12,200.13 = 3,516/x
  3. Step 3: Cross multiply
    8,133x = 12,200.13 × 3,516
  4. Step 4: Simplify right side
    8,133x = 42,895,657.08
  5. Step 5: Solve for x
    x = 42,895,657.08/8,133
  6. Step 6: Final answer
    x = 5,274.27

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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.