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Finding the Fourth Proportional to 2,651.85, 3,977.82 and 802.98

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Solution

The fourth proportional to 2,651.85, 3,977.82 and 802.98 is: 1,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.85 : 3,977.82 = 802.98 : x
  2. Step 2: Convert to fraction form
    2,651.85/3,977.82 = 802.98/x
  3. Step 3: Cross multiply
    2,651.85x = 3,977.82 × 802.98
  4. Step 4: Simplify right side
    2,651.85x = 3,194,109.90
  5. Step 5: Solve for x
    x = 3,194,109.90/2,651.85
  6. Step 6: Final answer
    x = 1,204.48

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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.