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Finding the Fourth Proportional to 3,517.34, 5,275.98 and 920.25

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Solution

The fourth proportional to 3,517.34, 5,275.98 and 920.25 is: 1,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.34 : 5,275.98 = 920.25 : x
  2. Step 2: Convert to fraction form
    3,517.34/5,275.98 = 920.25/x
  3. Step 3: Cross multiply
    3,517.34x = 5,275.98 × 920.25
  4. Step 4: Simplify right side
    3,517.34x = 4,855,220.60
  5. Step 5: Solve for x
    x = 4,855,220.60/3,517.34
  6. Step 6: Final answer
    x = 1,380.37

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Double scale
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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.