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Finding the Fourth Proportional to 1,668.14, 2,302.05 and 922.13

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Solution

The fourth proportional to 1,668.14, 2,302.05 and 922.13 is: 1,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.14 : 2,302.05 = 922.13 : x
  2. Step 2: Convert to fraction form
    1,668.14/2,302.05 = 922.13/x
  3. Step 3: Cross multiply
    1,668.14x = 2,302.05 × 922.13
  4. Step 4: Simplify right side
    1,668.14x = 2,122,789.37
  5. Step 5: Solve for x
    x = 2,122,789.37/1,668.14
  6. Step 6: Final answer
    x = 1,272.55

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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.