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Finding the Fourth Proportional to 7,232.50, 10,847.55 and 2,037.22

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Solution

The fourth proportional to 7,232.50, 10,847.55 and 2,037.22 is: 3,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.50 : 10,847.55 = 2,037.22 : x
  2. Step 2: Convert to fraction form
    7,232.50/10,847.55 = 2,037.22/x
  3. Step 3: Cross multiply
    7,232.50x = 10,847.55 × 2,037.22
  4. Step 4: Simplify right side
    7,232.50x = 22,098,845.81
  5. Step 5: Solve for x
    x = 22,098,845.81/7,232.50
  6. Step 6: Final answer
    x = 3,055.49

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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.