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Finding the Fourth Proportional to 2,675.71, 4,021.13 and 1,580.59

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Solution

The fourth proportional to 2,675.71, 4,021.13 and 1,580.59 is: 2,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.71 : 4,021.13 = 1,580.59 : x
  2. Step 2: Convert to fraction form
    2,675.71/4,021.13 = 1,580.59/x
  3. Step 3: Cross multiply
    2,675.71x = 4,021.13 × 1,580.59
  4. Step 4: Simplify right side
    2,675.71x = 6,355,757.87
  5. Step 5: Solve for x
    x = 6,355,757.87/2,675.71
  6. Step 6: Final answer
    x = 2,375.35

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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.