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Finding the Fourth Proportional to 2,666.94, 4,000.82 and 719.22

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Solution

The fourth proportional to 2,666.94, 4,000.82 and 719.22 is: 1,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 4,000.82 = 719.22 : x
  2. Step 2: Convert to fraction form
    2,666.94/4,000.82 = 719.22/x
  3. Step 3: Cross multiply
    2,666.94x = 4,000.82 × 719.22
  4. Step 4: Simplify right side
    2,666.94x = 2,877,469.76
  5. Step 5: Solve for x
    x = 2,877,469.76/2,666.94
  6. Step 6: Final answer
    x = 1,078.94

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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.