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Finding the Fourth Proportional to 4,253.63, 6,380.44 and 1,658.39

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Solution

The fourth proportional to 4,253.63, 6,380.44 and 1,658.39 is: 2,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.63 : 6,380.44 = 1,658.39 : x
  2. Step 2: Convert to fraction form
    4,253.63/6,380.44 = 1,658.39/x
  3. Step 3: Cross multiply
    4,253.63x = 6,380.44 × 1,658.39
  4. Step 4: Simplify right side
    4,253.63x = 10,581,221.84
  5. Step 5: Solve for x
    x = 10,581,221.84/4,253.63
  6. Step 6: Final answer
    x = 2,487.58

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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.