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Finding the Fourth Proportional to 7,710.83, 11,563.85 and 2,779.83

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Solution

The fourth proportional to 7,710.83, 11,563.85 and 2,779.83 is: 4,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.83 : 11,563.85 = 2,779.83 : x
  2. Step 2: Convert to fraction form
    7,710.83/11,563.85 = 2,779.83/x
  3. Step 3: Cross multiply
    7,710.83x = 11,563.85 × 2,779.83
  4. Step 4: Simplify right side
    7,710.83x = 32,145,544.10
  5. Step 5: Solve for x
    x = 32,145,544.10/7,710.83
  6. Step 6: Final answer
    x = 4,168.88

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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.