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Finding the Fourth Proportional to 28,918, 43,383.12 and 16,444

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Solution

The fourth proportional to 28,918, 43,383.12 and 16,444 is: 24,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,918 : 43,383.12 = 16,444 : x
  2. Step 2: Convert to fraction form
    28,918/43,383.12 = 16,444/x
  3. Step 3: Cross multiply
    28,918x = 43,383.12 × 16,444
  4. Step 4: Simplify right side
    28,918x = 713,392,025.28
  5. Step 5: Solve for x
    x = 713,392,025.28/28,918
  6. Step 6: Final answer
    x = 24,669.48

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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.