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Finding the Fourth Proportional to 1,973.26, 2,720.57 and 1,617.90

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Solution

The fourth proportional to 1,973.26, 2,720.57 and 1,617.90 is: 2,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.26 : 2,720.57 = 1,617.90 : x
  2. Step 2: Convert to fraction form
    1,973.26/2,720.57 = 1,617.90/x
  3. Step 3: Cross multiply
    1,973.26x = 2,720.57 × 1,617.90
  4. Step 4: Simplify right side
    1,973.26x = 4,401,610.20
  5. Step 5: Solve for x
    x = 4,401,610.20/1,973.26
  6. Step 6: Final answer
    x = 2,230.63

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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.