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Finding the Fourth Proportional to 2,221.51, 3,332.44 and 640.17

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Solution

The fourth proportional to 2,221.51, 3,332.44 and 640.17 is: 960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.51 : 3,332.44 = 640.17 : x
  2. Step 2: Convert to fraction form
    2,221.51/3,332.44 = 640.17/x
  3. Step 3: Cross multiply
    2,221.51x = 3,332.44 × 640.17
  4. Step 4: Simplify right side
    2,221.51x = 2,133,328.11
  5. Step 5: Solve for x
    x = 2,133,328.11/2,221.51
  6. Step 6: Final answer
    x = 960.31

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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.