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Finding the Fourth Proportional to 7,952.32, 11,922.72 and 3,789.76

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Solution

The fourth proportional to 7,952.32, 11,922.72 and 3,789.76 is: 5,681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.32 : 11,922.72 = 3,789.76 : x
  2. Step 2: Convert to fraction form
    7,952.32/11,922.72 = 3,789.76/x
  3. Step 3: Cross multiply
    7,952.32x = 11,922.72 × 3,789.76
  4. Step 4: Simplify right side
    7,952.32x = 45,184,247.35
  5. Step 5: Solve for x
    x = 45,184,247.35/7,952.32
  6. Step 6: Final answer
    x = 5,681.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.