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Finding the Fourth Proportional to 8,683.60, 13,028.60 and 2,840.40

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Solution

The fourth proportional to 8,683.60, 13,028.60 and 2,840.40 is: 4,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.60 : 13,028.60 = 2,840.40 : x
  2. Step 2: Convert to fraction form
    8,683.60/13,028.60 = 2,840.40/x
  3. Step 3: Cross multiply
    8,683.60x = 13,028.60 × 2,840.40
  4. Step 4: Simplify right side
    8,683.60x = 37,006,435.44
  5. Step 5: Solve for x
    x = 37,006,435.44/8,683.60
  6. Step 6: Final answer
    x = 4,261.65

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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.