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Finding the Fourth Proportional to 2,419.70, 3,622.35 and 1,447.70

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Solution

The fourth proportional to 2,419.70, 3,622.35 and 1,447.70 is: 2,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.70 : 3,622.35 = 1,447.70 : x
  2. Step 2: Convert to fraction form
    2,419.70/3,622.35 = 1,447.70/x
  3. Step 3: Cross multiply
    2,419.70x = 3,622.35 × 1,447.70
  4. Step 4: Simplify right side
    2,419.70x = 5,244,076.10
  5. Step 5: Solve for x
    x = 5,244,076.10/2,419.70
  6. Step 6: Final answer
    x = 2,167.24

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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.