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Finding the Fourth Proportional to 9,525.92, 13,139.62 and 5,982.98

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Solution

The fourth proportional to 9,525.92, 13,139.62 and 5,982.98 is: 8,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.92 : 13,139.62 = 5,982.98 : x
  2. Step 2: Convert to fraction form
    9,525.92/13,139.62 = 5,982.98/x
  3. Step 3: Cross multiply
    9,525.92x = 13,139.62 × 5,982.98
  4. Step 4: Simplify right side
    9,525.92x = 78,614,083.67
  5. Step 5: Solve for x
    x = 78,614,083.67/9,525.92
  6. Step 6: Final answer
    x = 8,252.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.