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Finding the Fourth Proportional to 8,257.59, 12,383.21 and 2,991.05

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Solution

The fourth proportional to 8,257.59, 12,383.21 and 2,991.05 is: 4,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.59 : 12,383.21 = 2,991.05 : x
  2. Step 2: Convert to fraction form
    8,257.59/12,383.21 = 2,991.05/x
  3. Step 3: Cross multiply
    8,257.59x = 12,383.21 × 2,991.05
  4. Step 4: Simplify right side
    8,257.59x = 37,038,792.27
  5. Step 5: Solve for x
    x = 37,038,792.27/8,257.59
  6. Step 6: Final answer
    x = 4,485.42

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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.