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Finding the Fourth Proportional to 13,830.40, 20,745.60 and 7,258.60

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Solution

The fourth proportional to 13,830.40, 20,745.60 and 7,258.60 is: 10,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.40 : 20,745.60 = 7,258.60 : x
  2. Step 2: Convert to fraction form
    13,830.40/20,745.60 = 7,258.60/x
  3. Step 3: Cross multiply
    13,830.40x = 20,745.60 × 7,258.60
  4. Step 4: Simplify right side
    13,830.40x = 150,584,012.16
  5. Step 5: Solve for x
    x = 150,584,012.16/13,830.40
  6. Step 6: Final answer
    x = 10,887.90

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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.