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Finding the Fourth Proportional to 8,161.99, 12,187.49 and 7,699.98

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Solution

The fourth proportional to 8,161.99, 12,187.49 and 7,699.98 is: 11,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.99 : 12,187.49 = 7,699.98 : x
  2. Step 2: Convert to fraction form
    8,161.99/12,187.49 = 7,699.98/x
  3. Step 3: Cross multiply
    8,161.99x = 12,187.49 × 7,699.98
  4. Step 4: Simplify right side
    8,161.99x = 93,843,429.25
  5. Step 5: Solve for x
    x = 93,843,429.25/8,161.99
  6. Step 6: Final answer
    x = 11,497.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.