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Finding the Fourth Proportional to 8,208.54, 12,290.94 and 7,158.78

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Solution

The fourth proportional to 8,208.54, 12,290.94 and 7,158.78 is: 10,719.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.54 : 12,290.94 = 7,158.78 : x
  2. Step 2: Convert to fraction form
    8,208.54/12,290.94 = 7,158.78/x
  3. Step 3: Cross multiply
    8,208.54x = 12,290.94 × 7,158.78
  4. Step 4: Simplify right side
    8,208.54x = 87,988,135.45
  5. Step 5: Solve for x
    x = 87,988,135.45/8,208.54
  6. Step 6: Final answer
    x = 10,719.10

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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.