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Finding the Fourth Proportional to 2,667.21, 4,000.89 and 719.43

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Solution

The fourth proportional to 2,667.21, 4,000.89 and 719.43 is: 1,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.21 : 4,000.89 = 719.43 : x
  2. Step 2: Convert to fraction form
    2,667.21/4,000.89 = 719.43/x
  3. Step 3: Cross multiply
    2,667.21x = 4,000.89 × 719.43
  4. Step 4: Simplify right side
    2,667.21x = 2,878,360.29
  5. Step 5: Solve for x
    x = 2,878,360.29/2,667.21
  6. Step 6: Final answer
    x = 1,079.17

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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.