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Finding the Fourth Proportional to 12,768.50, 19,170.69 and 6,532.98

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Solution

The fourth proportional to 12,768.50, 19,170.69 and 6,532.98 is: 9,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.50 : 19,170.69 = 6,532.98 : x
  2. Step 2: Convert to fraction form
    12,768.50/19,170.69 = 6,532.98/x
  3. Step 3: Cross multiply
    12,768.50x = 19,170.69 × 6,532.98
  4. Step 4: Simplify right side
    12,768.50x = 125,241,734.36
  5. Step 5: Solve for x
    x = 125,241,734.36/12,768.50
  6. Step 6: Final answer
    x = 9,808.65

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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.