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Finding the Fourth Proportional to 3,209.64, 4,419.78 and 2,977.32

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Solution

The fourth proportional to 3,209.64, 4,419.78 and 2,977.32 is: 4,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.64 : 4,419.78 = 2,977.32 : x
  2. Step 2: Convert to fraction form
    3,209.64/4,419.78 = 2,977.32/x
  3. Step 3: Cross multiply
    3,209.64x = 4,419.78 × 2,977.32
  4. Step 4: Simplify right side
    3,209.64x = 13,159,099.39
  5. Step 5: Solve for x
    x = 13,159,099.39/3,209.64
  6. Step 6: Final answer
    x = 4,099.87

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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.