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Finding the Fourth Proportional to 8,137.61, 12,206.41 and 7,722.08

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Solution

The fourth proportional to 8,137.61, 12,206.41 and 7,722.08 is: 11,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.61 : 12,206.41 = 7,722.08 : x
  2. Step 2: Convert to fraction form
    8,137.61/12,206.41 = 7,722.08/x
  3. Step 3: Cross multiply
    8,137.61x = 12,206.41 × 7,722.08
  4. Step 4: Simplify right side
    8,137.61x = 94,258,874.53
  5. Step 5: Solve for x
    x = 94,258,874.53/8,137.61
  6. Step 6: Final answer
    x = 11,583.12

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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.