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Finding the Fourth Proportional to 30,978.87, 46,408.62 and 18,508.89

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Solution

The fourth proportional to 30,978.87, 46,408.62 and 18,508.89 is: 27,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.87 : 46,408.62 = 18,508.89 : x
  2. Step 2: Convert to fraction form
    30,978.87/46,408.62 = 18,508.89/x
  3. Step 3: Cross multiply
    30,978.87x = 46,408.62 × 18,508.89
  4. Step 4: Simplify right side
    30,978.87x = 858,972,042.63
  5. Step 5: Solve for x
    x = 858,972,042.63/30,978.87
  6. Step 6: Final answer
    x = 27,727.68

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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.