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Finding the Fourth Proportional to 2,651.16, 3,976.74 and 802.23

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Solution

The fourth proportional to 2,651.16, 3,976.74 and 802.23 is: 1,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.16 : 3,976.74 = 802.23 : x
  2. Step 2: Convert to fraction form
    2,651.16/3,976.74 = 802.23/x
  3. Step 3: Cross multiply
    2,651.16x = 3,976.74 × 802.23
  4. Step 4: Simplify right side
    2,651.16x = 3,190,256.12
  5. Step 5: Solve for x
    x = 3,190,256.12/2,651.16
  6. Step 6: Final answer
    x = 1,203.35

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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.