Home / 2,651.14-3,977.34-802.18

Finding the Fourth Proportional to 2,651.14, 3,977.34 and 802.18

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Solution

The fourth proportional to 2,651.14, 3,977.34 and 802.18 is: 1,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.14 : 3,977.34 = 802.18 : x
  2. Step 2: Convert to fraction form
    2,651.14/3,977.34 = 802.18/x
  3. Step 3: Cross multiply
    2,651.14x = 3,977.34 × 802.18
  4. Step 4: Simplify right side
    2,651.14x = 3,190,542.60
  5. Step 5: Solve for x
    x = 3,190,542.60/2,651.14
  6. Step 6: Final answer
    x = 1,203.46

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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.