Home / 2,651.20-3,977.64-802.51

Finding the Fourth Proportional to 2,651.20, 3,977.64 and 802.51

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Solution

The fourth proportional to 2,651.20, 3,977.64 and 802.51 is: 1,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.20 : 3,977.64 = 802.51 : x
  2. Step 2: Convert to fraction form
    2,651.20/3,977.64 = 802.51/x
  3. Step 3: Cross multiply
    2,651.20x = 3,977.64 × 802.51
  4. Step 4: Simplify right side
    2,651.20x = 3,192,085.93
  5. Step 5: Solve for x
    x = 3,192,085.93/2,651.20
  6. Step 6: Final answer
    x = 1,204.02

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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.