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Finding the Fourth Proportional to 13,092.90, 19,638.86 and 5,697.36

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Solution

The fourth proportional to 13,092.90, 19,638.86 and 5,697.36 is: 8,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.90 : 19,638.86 = 5,697.36 : x
  2. Step 2: Convert to fraction form
    13,092.90/19,638.86 = 5,697.36/x
  3. Step 3: Cross multiply
    13,092.90x = 19,638.86 × 5,697.36
  4. Step 4: Simplify right side
    13,092.90x = 111,889,655.41
  5. Step 5: Solve for x
    x = 111,889,655.41/13,092.90
  6. Step 6: Final answer
    x = 8,545.83

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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.