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Finding the Fourth Proportional to 13,706.50, 20,563 and 4,472.50

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Solution

The fourth proportional to 13,706.50, 20,563 and 4,472.50 is: 6,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.50 : 20,563 = 4,472.50 : x
  2. Step 2: Convert to fraction form
    13,706.50/20,563 = 4,472.50/x
  3. Step 3: Cross multiply
    13,706.50x = 20,563 × 4,472.50
  4. Step 4: Simplify right side
    13,706.50x = 91,968,017.50
  5. Step 5: Solve for x
    x = 91,968,017.50/13,706.50
  6. Step 6: Final answer
    x = 6,709.81

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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.