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Finding the Fourth Proportional to 2,770.66, 3,820.40 and 2,264.94

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Solution

The fourth proportional to 2,770.66, 3,820.40 and 2,264.94 is: 3,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.66 : 3,820.40 = 2,264.94 : x
  2. Step 2: Convert to fraction form
    2,770.66/3,820.40 = 2,264.94/x
  3. Step 3: Cross multiply
    2,770.66x = 3,820.40 × 2,264.94
  4. Step 4: Simplify right side
    2,770.66x = 8,652,976.78
  5. Step 5: Solve for x
    x = 8,652,976.78/2,770.66
  6. Step 6: Final answer
    x = 3,123.07

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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.