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Finding the Fourth Proportional to 13,847.50, 20,771.25 and 5,639.50

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Solution

The fourth proportional to 13,847.50, 20,771.25 and 5,639.50 is: 8,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.50 : 20,771.25 = 5,639.50 : x
  2. Step 2: Convert to fraction form
    13,847.50/20,771.25 = 5,639.50/x
  3. Step 3: Cross multiply
    13,847.50x = 20,771.25 × 5,639.50
  4. Step 4: Simplify right side
    13,847.50x = 117,139,464.38
  5. Step 5: Solve for x
    x = 117,139,464.38/13,847.50
  6. Step 6: Final answer
    x = 8,459.25

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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.