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Finding the Fourth Proportional to 7,124.68, 10,688.24 and 2,194.22

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Solution

The fourth proportional to 7,124.68, 10,688.24 and 2,194.22 is: 3,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.68 : 10,688.24 = 2,194.22 : x
  2. Step 2: Convert to fraction form
    7,124.68/10,688.24 = 2,194.22/x
  3. Step 3: Cross multiply
    7,124.68x = 10,688.24 × 2,194.22
  4. Step 4: Simplify right side
    7,124.68x = 23,452,349.97
  5. Step 5: Solve for x
    x = 23,452,349.97/7,124.68
  6. Step 6: Final answer
    x = 3,291.71

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1.5x scale

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.