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Finding the Fourth Proportional to 2,269, 3,131.22 and 1,570.78

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Solution

The fourth proportional to 2,269, 3,131.22 and 1,570.78 is: 2,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269 : 3,131.22 = 1,570.78 : x
  2. Step 2: Convert to fraction form
    2,269/3,131.22 = 1,570.78/x
  3. Step 3: Cross multiply
    2,269x = 3,131.22 × 1,570.78
  4. Step 4: Simplify right side
    2,269x = 4,918,457.75
  5. Step 5: Solve for x
    x = 4,918,457.75/2,269
  6. Step 6: Final answer
    x = 2,167.68

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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.