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Finding the Fourth Proportional to 13,881, 20,821.52 and 5,673

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Solution

The fourth proportional to 13,881, 20,821.52 and 5,673 is: 8,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881 : 20,821.52 = 5,673 : x
  2. Step 2: Convert to fraction form
    13,881/20,821.52 = 5,673/x
  3. Step 3: Cross multiply
    13,881x = 20,821.52 × 5,673
  4. Step 4: Simplify right side
    13,881x = 118,120,482.96
  5. Step 5: Solve for x
    x = 118,120,482.96/13,881
  6. Step 6: Final answer
    x = 8,509.51

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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.