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Finding the Fourth Proportional to 13,643.72, 20,464.86 and 4,409

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Solution

The fourth proportional to 13,643.72, 20,464.86 and 4,409 is: 6,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.72 : 20,464.86 = 4,409 : x
  2. Step 2: Convert to fraction form
    13,643.72/20,464.86 = 4,409/x
  3. Step 3: Cross multiply
    13,643.72x = 20,464.86 × 4,409
  4. Step 4: Simplify right side
    13,643.72x = 90,229,567.74
  5. Step 5: Solve for x
    x = 90,229,567.74/13,643.72
  6. Step 6: Final answer
    x = 6,613.27

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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.