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Finding the Fourth Proportional to 8,731.72, 13,099.74 and 8,011.72

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Solution

The fourth proportional to 8,731.72, 13,099.74 and 8,011.72 is: 12,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.72 : 13,099.74 = 8,011.72 : x
  2. Step 2: Convert to fraction form
    8,731.72/13,099.74 = 8,011.72/x
  3. Step 3: Cross multiply
    8,731.72x = 13,099.74 × 8,011.72
  4. Step 4: Simplify right side
    8,731.72x = 104,951,448.95
  5. Step 5: Solve for x
    x = 104,951,448.95/8,731.72
  6. Step 6: Final answer
    x = 12,019.56

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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.