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Finding the Fourth Proportional to 2,737.02, 4,104.93 and 788.80

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Solution

The fourth proportional to 2,737.02, 4,104.93 and 788.80 is: 1,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.02 : 4,104.93 = 788.80 : x
  2. Step 2: Convert to fraction form
    2,737.02/4,104.93 = 788.80/x
  3. Step 3: Cross multiply
    2,737.02x = 4,104.93 × 788.80
  4. Step 4: Simplify right side
    2,737.02x = 3,237,968.78
  5. Step 5: Solve for x
    x = 3,237,968.78/2,737.02
  6. Step 6: Final answer
    x = 1,183.03

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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.