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Finding the Fourth Proportional to 3,202.56, 4,419.56 and 1,786.34

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Solution

The fourth proportional to 3,202.56, 4,419.56 and 1,786.34 is: 2,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.56 : 4,419.56 = 1,786.34 : x
  2. Step 2: Convert to fraction form
    3,202.56/4,419.56 = 1,786.34/x
  3. Step 3: Cross multiply
    3,202.56x = 4,419.56 × 1,786.34
  4. Step 4: Simplify right side
    3,202.56x = 7,894,836.81
  5. Step 5: Solve for x
    x = 7,894,836.81/3,202.56
  6. Step 6: Final answer
    x = 2,465.16

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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.