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Finding the Fourth Proportional to 2,770.13, 3,828.24 and 2,474.88

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Solution

The fourth proportional to 2,770.13, 3,828.24 and 2,474.88 is: 3,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.13 : 3,828.24 = 2,474.88 : x
  2. Step 2: Convert to fraction form
    2,770.13/3,828.24 = 2,474.88/x
  3. Step 3: Cross multiply
    2,770.13x = 3,828.24 × 2,474.88
  4. Step 4: Simplify right side
    2,770.13x = 9,474,434.61
  5. Step 5: Solve for x
    x = 9,474,434.61/2,770.13
  6. Step 6: Final answer
    x = 3,420.22

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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.