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Finding the Fourth Proportional to 3,486.96, 5,228.28 and 1,636.92

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Solution

The fourth proportional to 3,486.96, 5,228.28 and 1,636.92 is: 2,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.96 : 5,228.28 = 1,636.92 : x
  2. Step 2: Convert to fraction form
    3,486.96/5,228.28 = 1,636.92/x
  3. Step 3: Cross multiply
    3,486.96x = 5,228.28 × 1,636.92
  4. Step 4: Simplify right side
    3,486.96x = 8,558,276.10
  5. Step 5: Solve for x
    x = 8,558,276.10/3,486.96
  6. Step 6: Final answer
    x = 2,454.37

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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.