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Finding the Fourth Proportional to 12,665.63, 19,003.92 and 6,821.08

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Solution

The fourth proportional to 12,665.63, 19,003.92 and 6,821.08 is: 10,234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.63 : 19,003.92 = 6,821.08 : x
  2. Step 2: Convert to fraction form
    12,665.63/19,003.92 = 6,821.08/x
  3. Step 3: Cross multiply
    12,665.63x = 19,003.92 × 6,821.08
  4. Step 4: Simplify right side
    12,665.63x = 129,627,211.12
  5. Step 5: Solve for x
    x = 129,627,211.12/12,665.63
  6. Step 6: Final answer
    x = 10,234.56

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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.