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Finding the Fourth Proportional to 18,557.86, 27,826.38 and 8,021.30

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Solution

The fourth proportional to 18,557.86, 27,826.38 and 8,021.30 is: 12,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.86 : 27,826.38 = 8,021.30 : x
  2. Step 2: Convert to fraction form
    18,557.86/27,826.38 = 8,021.30/x
  3. Step 3: Cross multiply
    18,557.86x = 27,826.38 × 8,021.30
  4. Step 4: Simplify right side
    18,557.86x = 223,203,741.89
  5. Step 5: Solve for x
    x = 223,203,741.89/18,557.86
  6. Step 6: Final answer
    x = 12,027.45

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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.