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Finding the Fourth Proportional to 2,313.98, 3,193.24 and 1,319.24

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Solution

The fourth proportional to 2,313.98, 3,193.24 and 1,319.24 is: 1,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.98 : 3,193.24 = 1,319.24 : x
  2. Step 2: Convert to fraction form
    2,313.98/3,193.24 = 1,319.24/x
  3. Step 3: Cross multiply
    2,313.98x = 3,193.24 × 1,319.24
  4. Step 4: Simplify right side
    2,313.98x = 4,212,649.94
  5. Step 5: Solve for x
    x = 4,212,649.94/2,313.98
  6. Step 6: Final answer
    x = 1,820.52

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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.