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Finding the Fourth Proportional to 2,985.18, 4,478.00 and 793.85

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Solution

The fourth proportional to 2,985.18, 4,478.00 and 793.85 is: 1,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.18 : 4,478.00 = 793.85 : x
  2. Step 2: Convert to fraction form
    2,985.18/4,478.00 = 793.85/x
  3. Step 3: Cross multiply
    2,985.18x = 4,478.00 × 793.85
  4. Step 4: Simplify right side
    2,985.18x = 3,554,833.94
  5. Step 5: Solve for x
    x = 3,554,833.94/2,985.18
  6. Step 6: Final answer
    x = 1,190.83

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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.