Home / 3,077-4,246.80-2,031.20

Finding the Fourth Proportional to 3,077, 4,246.80 and 2,031.20

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Solution

The fourth proportional to 3,077, 4,246.80 and 2,031.20 is: 2,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077 : 4,246.80 = 2,031.20 : x
  2. Step 2: Convert to fraction form
    3,077/4,246.80 = 2,031.20/x
  3. Step 3: Cross multiply
    3,077x = 4,246.80 × 2,031.20
  4. Step 4: Simplify right side
    3,077x = 8,626,100.16
  5. Step 5: Solve for x
    x = 8,626,100.16/3,077
  6. Step 6: Final answer
    x = 2,803.41

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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.