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Finding the Fourth Proportional to 13,907.75, 20,847.65 and 5,586.21

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Solution

The fourth proportional to 13,907.75, 20,847.65 and 5,586.21 is: 8,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.75 : 20,847.65 = 5,586.21 : x
  2. Step 2: Convert to fraction form
    13,907.75/20,847.65 = 5,586.21/x
  3. Step 3: Cross multiply
    13,907.75x = 20,847.65 × 5,586.21
  4. Step 4: Simplify right side
    13,907.75x = 116,459,322.98
  5. Step 5: Solve for x
    x = 116,459,322.98/13,907.75
  6. Step 6: Final answer
    x = 8,373.70

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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.