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Finding the Fourth Proportional to 3,099.60, 4,646.97 and 1,454.49

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Solution

The fourth proportional to 3,099.60, 4,646.97 and 1,454.49 is: 2,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.60 : 4,646.97 = 1,454.49 : x
  2. Step 2: Convert to fraction form
    3,099.60/4,646.97 = 1,454.49/x
  3. Step 3: Cross multiply
    3,099.60x = 4,646.97 × 1,454.49
  4. Step 4: Simplify right side
    3,099.60x = 6,758,971.40
  5. Step 5: Solve for x
    x = 6,758,971.40/3,099.60
  6. Step 6: Final answer
    x = 2,180.59

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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.