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Finding the Fourth Proportional to 2,221.93, 3,332.95 and 761.06

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Solution

The fourth proportional to 2,221.93, 3,332.95 and 761.06 is: 1,141.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.93 : 3,332.95 = 761.06 : x
  2. Step 2: Convert to fraction form
    2,221.93/3,332.95 = 761.06/x
  3. Step 3: Cross multiply
    2,221.93x = 3,332.95 × 761.06
  4. Step 4: Simplify right side
    2,221.93x = 2,536,581.36
  5. Step 5: Solve for x
    x = 2,536,581.36/2,221.93
  6. Step 6: Final answer
    x = 1,141.61

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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.