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Finding the Fourth Proportional to 13,853, 20,779.91 and 3,464.75

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Solution

The fourth proportional to 13,853, 20,779.91 and 3,464.75 is: 5,197.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853 : 20,779.91 = 3,464.75 : x
  2. Step 2: Convert to fraction form
    13,853/20,779.91 = 3,464.75/x
  3. Step 3: Cross multiply
    13,853x = 20,779.91 × 3,464.75
  4. Step 4: Simplify right side
    13,853x = 71,997,193.17
  5. Step 5: Solve for x
    x = 71,997,193.17/13,853
  6. Step 6: Final answer
    x = 5,197.23

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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.