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Finding the Fourth Proportional to 4,550.64, 6,821.64 and 1,779.09

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Solution

The fourth proportional to 4,550.64, 6,821.64 and 1,779.09 is: 2,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.64 : 6,821.64 = 1,779.09 : x
  2. Step 2: Convert to fraction form
    4,550.64/6,821.64 = 1,779.09/x
  3. Step 3: Cross multiply
    4,550.64x = 6,821.64 × 1,779.09
  4. Step 4: Simplify right side
    4,550.64x = 12,136,311.51
  5. Step 5: Solve for x
    x = 12,136,311.51/4,550.64
  6. Step 6: Final answer
    x = 2,666.95

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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.