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Finding the Fourth Proportional to 39,168, 54,051.84 and 21,504

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Solution

The fourth proportional to 39,168, 54,051.84 and 21,504 is: 29,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,168 : 54,051.84 = 21,504 : x
  2. Step 2: Convert to fraction form
    39,168/54,051.84 = 21,504/x
  3. Step 3: Cross multiply
    39,168x = 54,051.84 × 21,504
  4. Step 4: Simplify right side
    39,168x = 1,162,330,767.36
  5. Step 5: Solve for x
    x = 1,162,330,767.36/39,168
  6. Step 6: Final answer
    x = 29,675.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.