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Finding the Fourth Proportional to 8,683.56, 13,025.16 and 2,109.78

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Solution

The fourth proportional to 8,683.56, 13,025.16 and 2,109.78 is: 3,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.56 : 13,025.16 = 2,109.78 : x
  2. Step 2: Convert to fraction form
    8,683.56/13,025.16 = 2,109.78/x
  3. Step 3: Cross multiply
    8,683.56x = 13,025.16 × 2,109.78
  4. Step 4: Simplify right side
    8,683.56x = 27,480,222.06
  5. Step 5: Solve for x
    x = 27,480,222.06/8,683.56
  6. Step 6: Final answer
    x = 3,164.63

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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.