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Finding the Fourth Proportional to 3,142.91, 4,714.36 and 802.83

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Solution

The fourth proportional to 3,142.91, 4,714.36 and 802.83 is: 1,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.91 : 4,714.36 = 802.83 : x
  2. Step 2: Convert to fraction form
    3,142.91/4,714.36 = 802.83/x
  3. Step 3: Cross multiply
    3,142.91x = 4,714.36 × 802.83
  4. Step 4: Simplify right side
    3,142.91x = 3,784,840.99
  5. Step 5: Solve for x
    x = 3,784,840.99/3,142.91
  6. Step 6: Final answer
    x = 1,204.25

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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.