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Finding the Fourth Proportional to 10,133.68, 15,200.34 and 3,208

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Solution

The fourth proportional to 10,133.68, 15,200.34 and 3,208 is: 4,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.68 : 15,200.34 = 3,208 : x
  2. Step 2: Convert to fraction form
    10,133.68/15,200.34 = 3,208/x
  3. Step 3: Cross multiply
    10,133.68x = 15,200.34 × 3,208
  4. Step 4: Simplify right side
    10,133.68x = 48,762,690.72
  5. Step 5: Solve for x
    x = 48,762,690.72/10,133.68
  6. Step 6: Final answer
    x = 4,811.94

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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.