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Finding the Fourth Proportional to 2,672.85, 3,689.65 and 1,970.27

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Solution

The fourth proportional to 2,672.85, 3,689.65 and 1,970.27 is: 2,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.85 : 3,689.65 = 1,970.27 : x
  2. Step 2: Convert to fraction form
    2,672.85/3,689.65 = 1,970.27/x
  3. Step 3: Cross multiply
    2,672.85x = 3,689.65 × 1,970.27
  4. Step 4: Simplify right side
    2,672.85x = 7,269,625.31
  5. Step 5: Solve for x
    x = 7,269,625.31/2,672.85
  6. Step 6: Final answer
    x = 2,719.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.