Home / 3,142.25-4,713.26-802.23

Finding the Fourth Proportional to 3,142.25, 4,713.26 and 802.23

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Solution

The fourth proportional to 3,142.25, 4,713.26 and 802.23 is: 1,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.25 : 4,713.26 = 802.23 : x
  2. Step 2: Convert to fraction form
    3,142.25/4,713.26 = 802.23/x
  3. Step 3: Cross multiply
    3,142.25x = 4,713.26 × 802.23
  4. Step 4: Simplify right side
    3,142.25x = 3,781,114.56
  5. Step 5: Solve for x
    x = 3,781,114.56/3,142.25
  6. Step 6: Final answer
    x = 1,203.32

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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.