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Finding the Fourth Proportional to 12,840.75, 17,720.64 and 7,175.75

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Solution

The fourth proportional to 12,840.75, 17,720.64 and 7,175.75 is: 9,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.75 : 17,720.64 = 7,175.75 : x
  2. Step 2: Convert to fraction form
    12,840.75/17,720.64 = 7,175.75/x
  3. Step 3: Cross multiply
    12,840.75x = 17,720.64 × 7,175.75
  4. Step 4: Simplify right side
    12,840.75x = 127,158,793.88
  5. Step 5: Solve for x
    x = 127,158,793.88/12,840.75
  6. Step 6: Final answer
    x = 9,902.75

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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.