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Finding the Fourth Proportional to 19,813.92, 29,720.72 and 5,022.84

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Solution

The fourth proportional to 19,813.92, 29,720.72 and 5,022.84 is: 7,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.92 : 29,720.72 = 5,022.84 : x
  2. Step 2: Convert to fraction form
    19,813.92/29,720.72 = 5,022.84/x
  3. Step 3: Cross multiply
    19,813.92x = 29,720.72 × 5,022.84
  4. Step 4: Simplify right side
    19,813.92x = 149,282,421.24
  5. Step 5: Solve for x
    x = 149,282,421.24/19,813.92
  6. Step 6: Final answer
    x = 7,534.22

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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.