Home / 3,142.22-4,713.25-802.24

Finding the Fourth Proportional to 3,142.22, 4,713.25 and 802.24

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Solution

The fourth proportional to 3,142.22, 4,713.25 and 802.24 is: 1,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.22 : 4,713.25 = 802.24 : x
  2. Step 2: Convert to fraction form
    3,142.22/4,713.25 = 802.24/x
  3. Step 3: Cross multiply
    3,142.22x = 4,713.25 × 802.24
  4. Step 4: Simplify right side
    3,142.22x = 3,781,152.73
  5. Step 5: Solve for x
    x = 3,781,152.73/3,142.22
  6. Step 6: Final answer
    x = 1,203.34

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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.