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Finding the Fourth Proportional to 2,666.94, 4,000.08 and 719.28

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Solution

The fourth proportional to 2,666.94, 4,000.08 and 719.28 is: 1,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 4,000.08 = 719.28 : x
  2. Step 2: Convert to fraction form
    2,666.94/4,000.08 = 719.28/x
  3. Step 3: Cross multiply
    2,666.94x = 4,000.08 × 719.28
  4. Step 4: Simplify right side
    2,666.94x = 2,877,177.54
  5. Step 5: Solve for x
    x = 2,877,177.54/2,666.94
  6. Step 6: Final answer
    x = 1,078.83

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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.