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Finding the Fourth Proportional to 12,768.30, 17,620.59 and 7,731.60

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Solution

The fourth proportional to 12,768.30, 17,620.59 and 7,731.60 is: 10,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.30 : 17,620.59 = 7,731.60 : x
  2. Step 2: Convert to fraction form
    12,768.30/17,620.59 = 7,731.60/x
  3. Step 3: Cross multiply
    12,768.30x = 17,620.59 × 7,731.60
  4. Step 4: Simplify right side
    12,768.30x = 136,235,353.64
  5. Step 5: Solve for x
    x = 136,235,353.64/12,768.30
  6. Step 6: Final answer
    x = 10,669.81

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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.