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Finding the Fourth Proportional to 8,523.06, 12,784.65 and 8,151.30

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Solution

The fourth proportional to 8,523.06, 12,784.65 and 8,151.30 is: 12,227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.06 : 12,784.65 = 8,151.30 : x
  2. Step 2: Convert to fraction form
    8,523.06/12,784.65 = 8,151.30/x
  3. Step 3: Cross multiply
    8,523.06x = 12,784.65 × 8,151.30
  4. Step 4: Simplify right side
    8,523.06x = 104,211,517.55
  5. Step 5: Solve for x
    x = 104,211,517.55/8,523.06
  6. Step 6: Final answer
    x = 12,227.01

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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.