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Finding the Fourth Proportional to 3,385.36, 5,077.96 and 920.40

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Solution

The fourth proportional to 3,385.36, 5,077.96 and 920.40 is: 1,380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.36 : 5,077.96 = 920.40 : x
  2. Step 2: Convert to fraction form
    3,385.36/5,077.96 = 920.40/x
  3. Step 3: Cross multiply
    3,385.36x = 5,077.96 × 920.40
  4. Step 4: Simplify right side
    3,385.36x = 4,673,754.38
  5. Step 5: Solve for x
    x = 4,673,754.38/3,385.36
  6. Step 6: Final answer
    x = 1,380.58

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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.