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Finding the Fourth Proportional to 2,770.76, 3,824.12 and 2,646.20

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Solution

The fourth proportional to 2,770.76, 3,824.12 and 2,646.20 is: 3,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.76 : 3,824.12 = 2,646.20 : x
  2. Step 2: Convert to fraction form
    2,770.76/3,824.12 = 2,646.20/x
  3. Step 3: Cross multiply
    2,770.76x = 3,824.12 × 2,646.20
  4. Step 4: Simplify right side
    2,770.76x = 10,119,353.99
  5. Step 5: Solve for x
    x = 10,119,353.99/2,770.76
  6. Step 6: Final answer
    x = 3,652.20

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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.