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Finding the Fourth Proportional to 3,639.68, 5,454.64 and 3,406.40

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Solution

The fourth proportional to 3,639.68, 5,454.64 and 3,406.40 is: 5,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.68 : 5,454.64 = 3,406.40 : x
  2. Step 2: Convert to fraction form
    3,639.68/5,454.64 = 3,406.40/x
  3. Step 3: Cross multiply
    3,639.68x = 5,454.64 × 3,406.40
  4. Step 4: Simplify right side
    3,639.68x = 18,580,685.70
  5. Step 5: Solve for x
    x = 18,580,685.70/3,639.68
  6. Step 6: Final answer
    x = 5,105.03

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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.