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Finding the Fourth Proportional to 2,649.79, 3,973.14 and 1,773.29

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Solution

The fourth proportional to 2,649.79, 3,973.14 and 1,773.29 is: 2,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.79 : 3,973.14 = 1,773.29 : x
  2. Step 2: Convert to fraction form
    2,649.79/3,973.14 = 1,773.29/x
  3. Step 3: Cross multiply
    2,649.79x = 3,973.14 × 1,773.29
  4. Step 4: Simplify right side
    2,649.79x = 7,045,529.43
  5. Step 5: Solve for x
    x = 7,045,529.43/2,649.79
  6. Step 6: Final answer
    x = 2,658.90

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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.