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Finding the Fourth Proportional to 2,221.65, 3,332.61 and 760.82

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Solution

The fourth proportional to 2,221.65, 3,332.61 and 760.82 is: 1,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.65 : 3,332.61 = 760.82 : x
  2. Step 2: Convert to fraction form
    2,221.65/3,332.61 = 760.82/x
  3. Step 3: Cross multiply
    2,221.65x = 3,332.61 × 760.82
  4. Step 4: Simplify right side
    2,221.65x = 2,535,499.68
  5. Step 5: Solve for x
    x = 2,535,499.68/2,221.65
  6. Step 6: Final answer
    x = 1,141.27

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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.