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Finding the Fourth Proportional to 2,222.76, 3,334.86 and 761.93

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Solution

The fourth proportional to 2,222.76, 3,334.86 and 761.93 is: 1,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.76 : 3,334.86 = 761.93 : x
  2. Step 2: Convert to fraction form
    2,222.76/3,334.86 = 761.93/x
  3. Step 3: Cross multiply
    2,222.76x = 3,334.86 × 761.93
  4. Step 4: Simplify right side
    2,222.76x = 2,540,913.21
  5. Step 5: Solve for x
    x = 2,540,913.21/2,222.76
  6. Step 6: Final answer
    x = 1,143.13

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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.