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Finding the Fourth Proportional to 8,012.20, 12,078.41 and 7,477

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Solution

The fourth proportional to 8,012.20, 12,078.41 and 7,477 is: 11,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.20 : 12,078.41 = 7,477 : x
  2. Step 2: Convert to fraction form
    8,012.20/12,078.41 = 7,477/x
  3. Step 3: Cross multiply
    8,012.20x = 12,078.41 × 7,477
  4. Step 4: Simplify right side
    8,012.20x = 90,310,271.57
  5. Step 5: Solve for x
    x = 90,310,271.57/8,012.20
  6. Step 6: Final answer
    x = 11,271.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.