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Finding the Fourth Proportional to 17,213.44, 25,800.72 and 7,960

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Solution

The fourth proportional to 17,213.44, 25,800.72 and 7,960 is: 11,931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.44 : 25,800.72 = 7,960 : x
  2. Step 2: Convert to fraction form
    17,213.44/25,800.72 = 7,960/x
  3. Step 3: Cross multiply
    17,213.44x = 25,800.72 × 7,960
  4. Step 4: Simplify right side
    17,213.44x = 205,373,731.20
  5. Step 5: Solve for x
    x = 205,373,731.20/17,213.44
  6. Step 6: Final answer
    x = 11,931.01

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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.