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Finding the Fourth Proportional to 1,668.56, 2,313.74 and 1,613.22

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Solution

The fourth proportional to 1,668.56, 2,313.74 and 1,613.22 is: 2,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.56 : 2,313.74 = 1,613.22 : x
  2. Step 2: Convert to fraction form
    1,668.56/2,313.74 = 1,613.22/x
  3. Step 3: Cross multiply
    1,668.56x = 2,313.74 × 1,613.22
  4. Step 4: Simplify right side
    1,668.56x = 3,732,571.64
  5. Step 5: Solve for x
    x = 3,732,571.64/1,668.56
  6. Step 6: Final answer
    x = 2,237.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.