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Finding the Fourth Proportional to 11,889.93, 16,406.78 and 6,583.42

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Solution

The fourth proportional to 11,889.93, 16,406.78 and 6,583.42 is: 9,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.93 : 16,406.78 = 6,583.42 : x
  2. Step 2: Convert to fraction form
    11,889.93/16,406.78 = 6,583.42/x
  3. Step 3: Cross multiply
    11,889.93x = 16,406.78 × 6,583.42
  4. Step 4: Simplify right side
    11,889.93x = 108,012,740.05
  5. Step 5: Solve for x
    x = 108,012,740.05/11,889.93
  6. Step 6: Final answer
    x = 9,084.39

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1.5x scale

Why These Related Problems?

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