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Finding the Fourth Proportional to 2,777.64, 4,166.24 and 829.85

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Solution

The fourth proportional to 2,777.64, 4,166.24 and 829.85 is: 1,244.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.64 : 4,166.24 = 829.85 : x
  2. Step 2: Convert to fraction form
    2,777.64/4,166.24 = 829.85/x
  3. Step 3: Cross multiply
    2,777.64x = 4,166.24 × 829.85
  4. Step 4: Simplify right side
    2,777.64x = 3,457,329.28
  5. Step 5: Solve for x
    x = 3,457,329.28/2,777.64
  6. Step 6: Final answer
    x = 1,244.70

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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.