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Finding the Fourth Proportional to 28,008, 41,998.40 and 13,204.48

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Solution

The fourth proportional to 28,008, 41,998.40 and 13,204.48 is: 19,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,008 : 41,998.40 = 13,204.48 : x
  2. Step 2: Convert to fraction form
    28,008/41,998.40 = 13,204.48/x
  3. Step 3: Cross multiply
    28,008x = 41,998.40 × 13,204.48
  4. Step 4: Simplify right side
    28,008x = 554,567,032.83
  5. Step 5: Solve for x
    x = 554,567,032.83/28,008
  6. Step 6: Final answer
    x = 19,800.31

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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.