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Finding the Fourth Proportional to 12,769.50, 19,172.19 and 6,533.98

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Solution

The fourth proportional to 12,769.50, 19,172.19 and 6,533.98 is: 9,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.50 : 19,172.19 = 6,533.98 : x
  2. Step 2: Convert to fraction form
    12,769.50/19,172.19 = 6,533.98/x
  3. Step 3: Cross multiply
    12,769.50x = 19,172.19 × 6,533.98
  4. Step 4: Simplify right side
    12,769.50x = 125,270,706.02
  5. Step 5: Solve for x
    x = 125,270,706.02/12,769.50
  6. Step 6: Final answer
    x = 9,810.15

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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.