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Finding the Fourth Proportional to 3,487.68, 5,231.88 and 1,022.49

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Solution

The fourth proportional to 3,487.68, 5,231.88 and 1,022.49 is: 1,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.68 : 5,231.88 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    3,487.68/5,231.88 = 1,022.49/x
  3. Step 3: Cross multiply
    3,487.68x = 5,231.88 × 1,022.49
  4. Step 4: Simplify right side
    3,487.68x = 5,349,544.98
  5. Step 5: Solve for x
    x = 5,349,544.98/3,487.68
  6. Step 6: Final answer
    x = 1,533.84

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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.