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Finding the Fourth Proportional to 13,907.73, 20,857.26 and 4,671.57

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Solution

The fourth proportional to 13,907.73, 20,857.26 and 4,671.57 is: 7,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.73 : 20,857.26 = 4,671.57 : x
  2. Step 2: Convert to fraction form
    13,907.73/20,857.26 = 4,671.57/x
  3. Step 3: Cross multiply
    13,907.73x = 20,857.26 × 4,671.57
  4. Step 4: Simplify right side
    13,907.73x = 97,436,150.10
  5. Step 5: Solve for x
    x = 97,436,150.10/13,907.73
  6. Step 6: Final answer
    x = 7,005.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.