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Finding the Fourth Proportional to 8,523.28, 12,787.05 and 6,774.88

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Solution

The fourth proportional to 8,523.28, 12,787.05 and 6,774.88 is: 10,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.28 : 12,787.05 = 6,774.88 : x
  2. Step 2: Convert to fraction form
    8,523.28/12,787.05 = 6,774.88/x
  3. Step 3: Cross multiply
    8,523.28x = 12,787.05 × 6,774.88
  4. Step 4: Simplify right side
    8,523.28x = 86,630,729.30
  5. Step 5: Solve for x
    x = 86,630,729.30/8,523.28
  6. Step 6: Final answer
    x = 10,164.01

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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.