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Finding the Fourth Proportional to 2,949.02, 4,423.54 and 757.76

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Solution

The fourth proportional to 2,949.02, 4,423.54 and 757.76 is: 1,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.02 : 4,423.54 = 757.76 : x
  2. Step 2: Convert to fraction form
    2,949.02/4,423.54 = 757.76/x
  3. Step 3: Cross multiply
    2,949.02x = 4,423.54 × 757.76
  4. Step 4: Simplify right side
    2,949.02x = 3,351,957.66
  5. Step 5: Solve for x
    x = 3,351,957.66/2,949.02
  6. Step 6: Final answer
    x = 1,136.63

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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.