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Finding the Fourth Proportional to 8,541.75, 12,813.09 and 8,074.28

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Solution

The fourth proportional to 8,541.75, 12,813.09 and 8,074.28 is: 12,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.75 : 12,813.09 = 8,074.28 : x
  2. Step 2: Convert to fraction form
    8,541.75/12,813.09 = 8,074.28/x
  3. Step 3: Cross multiply
    8,541.75x = 12,813.09 × 8,074.28
  4. Step 4: Simplify right side
    8,541.75x = 103,456,478.08
  5. Step 5: Solve for x
    x = 103,456,478.08/8,541.75
  6. Step 6: Final answer
    x = 12,111.85

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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.