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Finding the Fourth Proportional to 8,676.90, 11,970.90 and 5,694.39

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Solution

The fourth proportional to 8,676.90, 11,970.90 and 5,694.39 is: 7,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676.90 : 11,970.90 = 5,694.39 : x
  2. Step 2: Convert to fraction form
    8,676.90/11,970.90 = 5,694.39/x
  3. Step 3: Cross multiply
    8,676.90x = 11,970.90 × 5,694.39
  4. Step 4: Simplify right side
    8,676.90x = 68,166,973.25
  5. Step 5: Solve for x
    x = 68,166,973.25/8,676.90
  6. Step 6: Final answer
    x = 7,856.14

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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.