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Finding the Fourth Proportional to 12,305.15, 18,471.09 and 11,420.63

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Solution

The fourth proportional to 12,305.15, 18,471.09 and 11,420.63 is: 17,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.15 : 18,471.09 = 11,420.63 : x
  2. Step 2: Convert to fraction form
    12,305.15/18,471.09 = 11,420.63/x
  3. Step 3: Cross multiply
    12,305.15x = 18,471.09 × 11,420.63
  4. Step 4: Simplify right side
    12,305.15x = 210,951,484.59
  5. Step 5: Solve for x
    x = 210,951,484.59/12,305.15
  6. Step 6: Final answer
    x = 17,143.35

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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.