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Finding the Fourth Proportional to 13,667.52, 20,500.08 and 3,807

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Solution

The fourth proportional to 13,667.52, 20,500.08 and 3,807 is: 5,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.52 : 20,500.08 = 3,807 : x
  2. Step 2: Convert to fraction form
    13,667.52/20,500.08 = 3,807/x
  3. Step 3: Cross multiply
    13,667.52x = 20,500.08 × 3,807
  4. Step 4: Simplify right side
    13,667.52x = 78,043,804.56
  5. Step 5: Solve for x
    x = 78,043,804.56/13,667.52
  6. Step 6: Final answer
    x = 5,710.17

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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.