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Finding the Fourth Proportional to 2,679.33, 4,014 and 1,580.43

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Solution

The fourth proportional to 2,679.33, 4,014 and 1,580.43 is: 2,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.33 : 4,014 = 1,580.43 : x
  2. Step 2: Convert to fraction form
    2,679.33/4,014 = 1,580.43/x
  3. Step 3: Cross multiply
    2,679.33x = 4,014 × 1,580.43
  4. Step 4: Simplify right side
    2,679.33x = 6,343,846.02
  5. Step 5: Solve for x
    x = 6,343,846.02/2,679.33
  6. Step 6: Final answer
    x = 2,367.70

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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.