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Finding the Fourth Proportional to 30,058.78, 45,092.27 and 12,524.50

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Solution

The fourth proportional to 30,058.78, 45,092.27 and 12,524.50 is: 18,788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058.78 : 45,092.27 = 12,524.50 : x
  2. Step 2: Convert to fraction form
    30,058.78/45,092.27 = 12,524.50/x
  3. Step 3: Cross multiply
    30,058.78x = 45,092.27 × 12,524.50
  4. Step 4: Simplify right side
    30,058.78x = 564,758,135.62
  5. Step 5: Solve for x
    x = 564,758,135.62/30,058.78
  6. Step 6: Final answer
    x = 18,788.46

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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.