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Finding the Fourth Proportional to 8,380.16, 11,564.64 and 4,602.73

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Solution

The fourth proportional to 8,380.16, 11,564.64 and 4,602.73 is: 6,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.16 : 11,564.64 = 4,602.73 : x
  2. Step 2: Convert to fraction form
    8,380.16/11,564.64 = 4,602.73/x
  3. Step 3: Cross multiply
    8,380.16x = 11,564.64 × 4,602.73
  4. Step 4: Simplify right side
    8,380.16x = 53,228,915.47
  5. Step 5: Solve for x
    x = 53,228,915.47/8,380.16
  6. Step 6: Final answer
    x = 6,351.78

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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.