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Finding the Fourth Proportional to 9,777.96, 13,494.30 and 5,586.12

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Solution

The fourth proportional to 9,777.96, 13,494.30 and 5,586.12 is: 7,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.96 : 13,494.30 = 5,586.12 : x
  2. Step 2: Convert to fraction form
    9,777.96/13,494.30 = 5,586.12/x
  3. Step 3: Cross multiply
    9,777.96x = 13,494.30 × 5,586.12
  4. Step 4: Simplify right side
    9,777.96x = 75,380,779.12
  5. Step 5: Solve for x
    x = 75,380,779.12/9,777.96
  6. Step 6: Final answer
    x = 7,709.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.