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Finding the Fourth Proportional to 19,823.23, 29,731.94 and 5,779.49

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Solution

The fourth proportional to 19,823.23, 29,731.94 and 5,779.49 is: 8,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.23 : 29,731.94 = 5,779.49 : x
  2. Step 2: Convert to fraction form
    19,823.23/29,731.94 = 5,779.49/x
  3. Step 3: Cross multiply
    19,823.23x = 29,731.94 × 5,779.49
  4. Step 4: Simplify right side
    19,823.23x = 171,835,294.03
  5. Step 5: Solve for x
    x = 171,835,294.03/19,823.23
  6. Step 6: Final answer
    x = 8,668.38

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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.