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Finding the Fourth Proportional to 3,630.84, 5,410.19 and 3,454.53

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Solution

The fourth proportional to 3,630.84, 5,410.19 and 3,454.53 is: 5,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.84 : 5,410.19 = 3,454.53 : x
  2. Step 2: Convert to fraction form
    3,630.84/5,410.19 = 3,454.53/x
  3. Step 3: Cross multiply
    3,630.84x = 5,410.19 × 3,454.53
  4. Step 4: Simplify right side
    3,630.84x = 18,689,646.39
  5. Step 5: Solve for x
    x = 18,689,646.39/3,630.84
  6. Step 6: Final answer
    x = 5,147.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.