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Finding the Fourth Proportional to 8,667.96, 12,989.46 and 6,711

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Solution

The fourth proportional to 8,667.96, 12,989.46 and 6,711 is: 10,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.96 : 12,989.46 = 6,711 : x
  2. Step 2: Convert to fraction form
    8,667.96/12,989.46 = 6,711/x
  3. Step 3: Cross multiply
    8,667.96x = 12,989.46 × 6,711
  4. Step 4: Simplify right side
    8,667.96x = 87,172,266.06
  5. Step 5: Solve for x
    x = 87,172,266.06/8,667.96
  6. Step 6: Final answer
    x = 10,056.84

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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.