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Finding the Fourth Proportional to 8,208.78, 11,328.09 and 4,671.30

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Solution

The fourth proportional to 8,208.78, 11,328.09 and 4,671.30 is: 6,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.78 : 11,328.09 = 4,671.30 : x
  2. Step 2: Convert to fraction form
    8,208.78/11,328.09 = 4,671.30/x
  3. Step 3: Cross multiply
    8,208.78x = 11,328.09 × 4,671.30
  4. Step 4: Simplify right side
    8,208.78x = 52,916,906.82
  5. Step 5: Solve for x
    x = 52,916,906.82/8,208.78
  6. Step 6: Final answer
    x = 6,446.38

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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.