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Finding the Fourth Proportional to 17,312.96, 25,980 and 6,922.88

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Solution

The fourth proportional to 17,312.96, 25,980 and 6,922.88 is: 10,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,312.96 : 25,980 = 6,922.88 : x
  2. Step 2: Convert to fraction form
    17,312.96/25,980 = 6,922.88/x
  3. Step 3: Cross multiply
    17,312.96x = 25,980 × 6,922.88
  4. Step 4: Simplify right side
    17,312.96x = 179,856,422.40
  5. Step 5: Solve for x
    x = 179,856,422.40/17,312.96
  6. Step 6: Final answer
    x = 10,388.54

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1.5x scale

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.