Home / 3,031.28-4,542.36-2,054

Finding the Fourth Proportional to 3,031.28, 4,542.36 and 2,054

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Solution

The fourth proportional to 3,031.28, 4,542.36 and 2,054 is: 3,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.28 : 4,542.36 = 2,054 : x
  2. Step 2: Convert to fraction form
    3,031.28/4,542.36 = 2,054/x
  3. Step 3: Cross multiply
    3,031.28x = 4,542.36 × 2,054
  4. Step 4: Simplify right side
    3,031.28x = 9,330,007.44
  5. Step 5: Solve for x
    x = 9,330,007.44/3,031.28
  6. Step 6: Final answer
    x = 3,077.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.