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Finding the Fourth Proportional to 3,767.63, 5,654.95 and 1,920.14

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Solution

The fourth proportional to 3,767.63, 5,654.95 and 1,920.14 is: 2,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.63 : 5,654.95 = 1,920.14 : x
  2. Step 2: Convert to fraction form
    3,767.63/5,654.95 = 1,920.14/x
  3. Step 3: Cross multiply
    3,767.63x = 5,654.95 × 1,920.14
  4. Step 4: Simplify right side
    3,767.63x = 10,858,272.22
  5. Step 5: Solve for x
    x = 10,858,272.22/3,767.63
  6. Step 6: Final answer
    x = 2,881.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.