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Finding the Fourth Proportional to 6,845.94, 9,486.45 and 6,429.78

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Solution

The fourth proportional to 6,845.94, 9,486.45 and 6,429.78 is: 8,909.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.94 : 9,486.45 = 6,429.78 : x
  2. Step 2: Convert to fraction form
    6,845.94/9,486.45 = 6,429.78/x
  3. Step 3: Cross multiply
    6,845.94x = 9,486.45 × 6,429.78
  4. Step 4: Simplify right side
    6,845.94x = 60,995,786.48
  5. Step 5: Solve for x
    x = 60,995,786.48/6,845.94
  6. Step 6: Final answer
    x = 8,909.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.