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Finding the Fourth Proportional to 13,878.67, 20,810.03 and 5,435.29

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Solution

The fourth proportional to 13,878.67, 20,810.03 and 5,435.29 is: 8,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.67 : 20,810.03 = 5,435.29 : x
  2. Step 2: Convert to fraction form
    13,878.67/20,810.03 = 5,435.29/x
  3. Step 3: Cross multiply
    13,878.67x = 20,810.03 × 5,435.29
  4. Step 4: Simplify right side
    13,878.67x = 113,108,509.52
  5. Step 5: Solve for x
    x = 113,108,509.52/13,878.67
  6. Step 6: Final answer
    x = 8,149.81

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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.