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Finding the Fourth Proportional to 8,058.78, 12,085.11 and 4,772.79

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Solution

The fourth proportional to 8,058.78, 12,085.11 and 4,772.79 is: 7,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,058.78 : 12,085.11 = 4,772.79 : x
  2. Step 2: Convert to fraction form
    8,058.78/12,085.11 = 4,772.79/x
  3. Step 3: Cross multiply
    8,058.78x = 12,085.11 × 4,772.79
  4. Step 4: Simplify right side
    8,058.78x = 57,679,692.16
  5. Step 5: Solve for x
    x = 57,679,692.16/8,058.78
  6. Step 6: Final answer
    x = 7,157.37

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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.