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Finding the Fourth Proportional to 3,142.60, 4,714 and 802.61

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Solution

The fourth proportional to 3,142.60, 4,714 and 802.61 is: 1,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.60 : 4,714 = 802.61 : x
  2. Step 2: Convert to fraction form
    3,142.60/4,714 = 802.61/x
  3. Step 3: Cross multiply
    3,142.60x = 4,714 × 802.61
  4. Step 4: Simplify right side
    3,142.60x = 3,783,503.54
  5. Step 5: Solve for x
    x = 3,783,503.54/3,142.60
  6. Step 6: Final answer
    x = 1,203.94

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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.