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Finding the Fourth Proportional to 19,172.14, 28,769.34 and 8,078.10

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Solution

The fourth proportional to 19,172.14, 28,769.34 and 8,078.10 is: 12,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,172.14 : 28,769.34 = 8,078.10 : x
  2. Step 2: Convert to fraction form
    19,172.14/28,769.34 = 8,078.10/x
  3. Step 3: Cross multiply
    19,172.14x = 28,769.34 × 8,078.10
  4. Step 4: Simplify right side
    19,172.14x = 232,401,605.45
  5. Step 5: Solve for x
    x = 232,401,605.45/19,172.14
  6. Step 6: Final answer
    x = 12,121.84

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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.