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Finding the Fourth Proportional to 2,202.71, 3,303.26 and 642.32

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Solution

The fourth proportional to 2,202.71, 3,303.26 and 642.32 is: 963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.71 : 3,303.26 = 642.32 : x
  2. Step 2: Convert to fraction form
    2,202.71/3,303.26 = 642.32/x
  3. Step 3: Cross multiply
    2,202.71x = 3,303.26 × 642.32
  4. Step 4: Simplify right side
    2,202.71x = 2,121,749.96
  5. Step 5: Solve for x
    x = 2,121,749.96/2,202.71
  6. Step 6: Final answer
    x = 963.25

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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.