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Finding the Fourth Proportional to 3,913.57, 5,406.78 and 3,282.99

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Solution

The fourth proportional to 3,913.57, 5,406.78 and 3,282.99 is: 4,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.57 : 5,406.78 = 3,282.99 : x
  2. Step 2: Convert to fraction form
    3,913.57/5,406.78 = 3,282.99/x
  3. Step 3: Cross multiply
    3,913.57x = 5,406.78 × 3,282.99
  4. Step 4: Simplify right side
    3,913.57x = 17,750,404.67
  5. Step 5: Solve for x
    x = 17,750,404.67/3,913.57
  6. Step 6: Final answer
    x = 4,535.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.