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Finding the Fourth Proportional to 2,651.52, 3,977.82 and 802.74

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Solution

The fourth proportional to 2,651.52, 3,977.82 and 802.74 is: 1,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.52 : 3,977.82 = 802.74 : x
  2. Step 2: Convert to fraction form
    2,651.52/3,977.82 = 802.74/x
  3. Step 3: Cross multiply
    2,651.52x = 3,977.82 × 802.74
  4. Step 4: Simplify right side
    2,651.52x = 3,193,155.23
  5. Step 5: Solve for x
    x = 3,193,155.23/2,651.52
  6. Step 6: Final answer
    x = 1,204.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.