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Finding the Fourth Proportional to 2,574.40, 3,550.38 and 2,076.88

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Solution

The fourth proportional to 2,574.40, 3,550.38 and 2,076.88 is: 2,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.40 : 3,550.38 = 2,076.88 : x
  2. Step 2: Convert to fraction form
    2,574.40/3,550.38 = 2,076.88/x
  3. Step 3: Cross multiply
    2,574.40x = 3,550.38 × 2,076.88
  4. Step 4: Simplify right side
    2,574.40x = 7,373,713.21
  5. Step 5: Solve for x
    x = 7,373,713.21/2,574.40
  6. Step 6: Final answer
    x = 2,864.25

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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.