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Finding the Fourth Proportional to 8,524.60, 11,766.16 and 7,638.88

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Solution

The fourth proportional to 8,524.60, 11,766.16 and 7,638.88 is: 10,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.60 : 11,766.16 = 7,638.88 : x
  2. Step 2: Convert to fraction form
    8,524.60/11,766.16 = 7,638.88/x
  3. Step 3: Cross multiply
    8,524.60x = 11,766.16 × 7,638.88
  4. Step 4: Simplify right side
    8,524.60x = 89,880,284.30
  5. Step 5: Solve for x
    x = 89,880,284.30/8,524.60
  6. Step 6: Final answer
    x = 10,543.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.