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Finding the Fourth Proportional to 4,779.96, 7,161.85 and 2,927.21

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Solution

The fourth proportional to 4,779.96, 7,161.85 and 2,927.21 is: 4,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.96 : 7,161.85 = 2,927.21 : x
  2. Step 2: Convert to fraction form
    4,779.96/7,161.85 = 2,927.21/x
  3. Step 3: Cross multiply
    4,779.96x = 7,161.85 × 2,927.21
  4. Step 4: Simplify right side
    4,779.96x = 20,964,203.13
  5. Step 5: Solve for x
    x = 20,964,203.13/4,779.96
  6. Step 6: Final answer
    x = 4,385.85

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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.