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Finding the Fourth Proportional to 8,495.96, 12,667.75 and 8,170.88

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Solution

The fourth proportional to 8,495.96, 12,667.75 and 8,170.88 is: 12,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.96 : 12,667.75 = 8,170.88 : x
  2. Step 2: Convert to fraction form
    8,495.96/12,667.75 = 8,170.88/x
  3. Step 3: Cross multiply
    8,495.96x = 12,667.75 × 8,170.88
  4. Step 4: Simplify right side
    8,495.96x = 103,506,665.12
  5. Step 5: Solve for x
    x = 103,506,665.12/8,495.96
  6. Step 6: Final answer
    x = 12,183.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.