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Finding the Fourth Proportional to 2,642.91, 3,644.23 and 1,977.63

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Solution

The fourth proportional to 2,642.91, 3,644.23 and 1,977.63 is: 2,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.91 : 3,644.23 = 1,977.63 : x
  2. Step 2: Convert to fraction form
    2,642.91/3,644.23 = 1,977.63/x
  3. Step 3: Cross multiply
    2,642.91x = 3,644.23 × 1,977.63
  4. Step 4: Simplify right side
    2,642.91x = 7,206,938.57
  5. Step 5: Solve for x
    x = 7,206,938.57/2,642.91
  6. Step 6: Final answer
    x = 2,726.90

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1.5x scale

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.