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Finding the Fourth Proportional to 8,541.56, 12,812.40 and 8,169.80

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Solution

The fourth proportional to 8,541.56, 12,812.40 and 8,169.80 is: 12,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.56 : 12,812.40 = 8,169.80 : x
  2. Step 2: Convert to fraction form
    8,541.56/12,812.40 = 8,169.80/x
  3. Step 3: Cross multiply
    8,541.56x = 12,812.40 × 8,169.80
  4. Step 4: Simplify right side
    8,541.56x = 104,674,745.52
  5. Step 5: Solve for x
    x = 104,674,745.52/8,541.56
  6. Step 6: Final answer
    x = 12,254.76

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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.