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Finding the Fourth Proportional to 8,109.84, 12,165.36 and 7,142.64

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Solution

The fourth proportional to 8,109.84, 12,165.36 and 7,142.64 is: 10,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.84 : 12,165.36 = 7,142.64 : x
  2. Step 2: Convert to fraction form
    8,109.84/12,165.36 = 7,142.64/x
  3. Step 3: Cross multiply
    8,109.84x = 12,165.36 × 7,142.64
  4. Step 4: Simplify right side
    8,109.84x = 86,892,786.95
  5. Step 5: Solve for x
    x = 86,892,786.95/8,109.84
  6. Step 6: Final answer
    x = 10,714.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.