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Finding the Fourth Proportional to 12,433, 17,157.78 and 6,844

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Solution

The fourth proportional to 12,433, 17,157.78 and 6,844 is: 9,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 17,157.78 = 6,844 : x
  2. Step 2: Convert to fraction form
    12,433/17,157.78 = 6,844/x
  3. Step 3: Cross multiply
    12,433x = 17,157.78 × 6,844
  4. Step 4: Simplify right side
    12,433x = 117,427,846.32
  5. Step 5: Solve for x
    x = 117,427,846.32/12,433
  6. Step 6: Final answer
    x = 9,444.85

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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.