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Finding the Fourth Proportional to 8,078.88, 12,114.54 and 4,792.44

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Solution

The fourth proportional to 8,078.88, 12,114.54 and 4,792.44 is: 7,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.88 : 12,114.54 = 4,792.44 : x
  2. Step 2: Convert to fraction form
    8,078.88/12,114.54 = 4,792.44/x
  3. Step 3: Cross multiply
    8,078.88x = 12,114.54 × 4,792.44
  4. Step 4: Simplify right side
    8,078.88x = 58,058,206.08
  5. Step 5: Solve for x
    x = 58,058,206.08/8,078.88
  6. Step 6: Final answer
    x = 7,186.42

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1.5x scale

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.