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Finding the Fourth Proportional to 3,694.07, 5,541.20 and 920.72

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Solution

The fourth proportional to 3,694.07, 5,541.20 and 920.72 is: 1,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.07 : 5,541.20 = 920.72 : x
  2. Step 2: Convert to fraction form
    3,694.07/5,541.20 = 920.72/x
  3. Step 3: Cross multiply
    3,694.07x = 5,541.20 × 920.72
  4. Step 4: Simplify right side
    3,694.07x = 5,101,893.66
  5. Step 5: Solve for x
    x = 5,101,893.66/3,694.07
  6. Step 6: Final answer
    x = 1,381.10

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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.