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Finding the Fourth Proportional to 3,142.21, 4,713.31 and 802.21

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Solution

The fourth proportional to 3,142.21, 4,713.31 and 802.21 is: 1,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.21 : 4,713.31 = 802.21 : x
  2. Step 2: Convert to fraction form
    3,142.21/4,713.31 = 802.21/x
  3. Step 3: Cross multiply
    3,142.21x = 4,713.31 × 802.21
  4. Step 4: Simplify right side
    3,142.21x = 3,781,077.88
  5. Step 5: Solve for x
    x = 3,781,077.88/3,142.21
  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.