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Finding the Fourth Proportional to 13,082.79, 19,632.83 and 7,813.92

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Solution

The fourth proportional to 13,082.79, 19,632.83 and 7,813.92 is: 11,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.79 : 19,632.83 = 7,813.92 : x
  2. Step 2: Convert to fraction form
    13,082.79/19,632.83 = 7,813.92/x
  3. Step 3: Cross multiply
    13,082.79x = 19,632.83 × 7,813.92
  4. Step 4: Simplify right side
    13,082.79x = 153,409,323.92
  5. Step 5: Solve for x
    x = 153,409,323.92/13,082.79
  6. Step 6: Final answer
    x = 11,726.04

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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.