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Finding the Fourth Proportional to 9,157.78, 12,638.22 and 5,799.37

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Solution

The fourth proportional to 9,157.78, 12,638.22 and 5,799.37 is: 8,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.78 : 12,638.22 = 5,799.37 : x
  2. Step 2: Convert to fraction form
    9,157.78/12,638.22 = 5,799.37/x
  3. Step 3: Cross multiply
    9,157.78x = 12,638.22 × 5,799.37
  4. Step 4: Simplify right side
    9,157.78x = 73,293,713.92
  5. Step 5: Solve for x
    x = 73,293,713.92/9,157.78
  6. Step 6: Final answer
    x = 8,003.44

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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.