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Finding the Fourth Proportional to 2,770.76, 3,825.05 and 1,763.49

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Solution

The fourth proportional to 2,770.76, 3,825.05 and 1,763.49 is: 2,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.76 : 3,825.05 = 1,763.49 : x
  2. Step 2: Convert to fraction form
    2,770.76/3,825.05 = 1,763.49/x
  3. Step 3: Cross multiply
    2,770.76x = 3,825.05 × 1,763.49
  4. Step 4: Simplify right side
    2,770.76x = 6,745,426.39
  5. Step 5: Solve for x
    x = 6,745,426.39/2,770.76
  6. Step 6: Final answer
    x = 2,434.50

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Double scale
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1.5x scale

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.