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Finding the Fourth Proportional to 8,469.60, 11,688.12 and 4,743.60

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Solution

The fourth proportional to 8,469.60, 11,688.12 and 4,743.60 is: 6,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.60 : 11,688.12 = 4,743.60 : x
  2. Step 2: Convert to fraction form
    8,469.60/11,688.12 = 4,743.60/x
  3. Step 3: Cross multiply
    8,469.60x = 11,688.12 × 4,743.60
  4. Step 4: Simplify right side
    8,469.60x = 55,443,766.03
  5. Step 5: Solve for x
    x = 55,443,766.03/8,469.60
  6. Step 6: Final answer
    x = 6,546.21

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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.