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Finding the Fourth Proportional to 8,667.09, 13,000.64 and 6,946.65

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Solution

The fourth proportional to 8,667.09, 13,000.64 and 6,946.65 is: 10,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.09 : 13,000.64 = 6,946.65 : x
  2. Step 2: Convert to fraction form
    8,667.09/13,000.64 = 6,946.65/x
  3. Step 3: Cross multiply
    8,667.09x = 13,000.64 × 6,946.65
  4. Step 4: Simplify right side
    8,667.09x = 90,310,861.12
  5. Step 5: Solve for x
    x = 90,310,861.12/8,667.09
  6. Step 6: Final answer
    x = 10,419.98

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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.