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Finding the Fourth Proportional to 6,840.96, 10,259.42 and 1,909.41

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Solution

The fourth proportional to 6,840.96, 10,259.42 and 1,909.41 is: 2,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.96 : 10,259.42 = 1,909.41 : x
  2. Step 2: Convert to fraction form
    6,840.96/10,259.42 = 1,909.41/x
  3. Step 3: Cross multiply
    6,840.96x = 10,259.42 × 1,909.41
  4. Step 4: Simplify right side
    6,840.96x = 19,589,429.60
  5. Step 5: Solve for x
    x = 19,589,429.60/6,840.96
  6. Step 6: Final answer
    x = 2,863.55

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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.