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Finding the Fourth Proportional to 7,779.12, 11,664.84 and 3,394.68

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Solution

The fourth proportional to 7,779.12, 11,664.84 and 3,394.68 is: 5,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.12 : 11,664.84 = 3,394.68 : x
  2. Step 2: Convert to fraction form
    7,779.12/11,664.84 = 3,394.68/x
  3. Step 3: Cross multiply
    7,779.12x = 11,664.84 × 3,394.68
  4. Step 4: Simplify right side
    7,779.12x = 39,598,399.05
  5. Step 5: Solve for x
    x = 39,598,399.05/7,779.12
  6. Step 6: Final answer
    x = 5,090.34

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1.5x scale

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.