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Finding the Fourth Proportional to 8,740, 13,111.61 and 6,234.94

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Solution

The fourth proportional to 8,740, 13,111.61 and 6,234.94 is: 9,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 13,111.61 = 6,234.94 : x
  2. Step 2: Convert to fraction form
    8,740/13,111.61 = 6,234.94/x
  3. Step 3: Cross multiply
    8,740x = 13,111.61 × 6,234.94
  4. Step 4: Simplify right side
    8,740x = 81,750,101.65
  5. Step 5: Solve for x
    x = 81,750,101.65/8,740
  6. Step 6: Final answer
    x = 9,353.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.