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Finding the Fourth Proportional to 9,989.56, 14,992.98 and 3,837.88

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Solution

The fourth proportional to 9,989.56, 14,992.98 and 3,837.88 is: 5,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.56 : 14,992.98 = 3,837.88 : x
  2. Step 2: Convert to fraction form
    9,989.56/14,992.98 = 3,837.88/x
  3. Step 3: Cross multiply
    9,989.56x = 14,992.98 × 3,837.88
  4. Step 4: Simplify right side
    9,989.56x = 57,541,258.08
  5. Step 5: Solve for x
    x = 57,541,258.08/9,989.56
  6. Step 6: Final answer
    x = 5,760.14

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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.