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Finding the Fourth Proportional to 8,130.12, 12,184.22 and 5,928.54

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Solution

The fourth proportional to 8,130.12, 12,184.22 and 5,928.54 is: 8,884.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.12 : 12,184.22 = 5,928.54 : x
  2. Step 2: Convert to fraction form
    8,130.12/12,184.22 = 5,928.54/x
  3. Step 3: Cross multiply
    8,130.12x = 12,184.22 × 5,928.54
  4. Step 4: Simplify right side
    8,130.12x = 72,234,635.64
  5. Step 5: Solve for x
    x = 72,234,635.64/8,130.12
  6. Step 6: Final answer
    x = 8,884.82

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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.