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Finding the Fourth Proportional to 7,213.68, 10,811.10 and 3,700.74

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Solution

The fourth proportional to 7,213.68, 10,811.10 and 3,700.74 is: 5,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.68 : 10,811.10 = 3,700.74 : x
  2. Step 2: Convert to fraction form
    7,213.68/10,811.10 = 3,700.74/x
  3. Step 3: Cross multiply
    7,213.68x = 10,811.10 × 3,700.74
  4. Step 4: Simplify right side
    7,213.68x = 40,009,070.21
  5. Step 5: Solve for x
    x = 40,009,070.21/7,213.68
  6. Step 6: Final answer
    x = 5,546.28

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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.