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Finding the Fourth Proportional to 6,840.56, 10,259.01 and 1,909.33

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Solution

The fourth proportional to 6,840.56, 10,259.01 and 1,909.33 is: 2,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.56 : 10,259.01 = 1,909.33 : x
  2. Step 2: Convert to fraction form
    6,840.56/10,259.01 = 1,909.33/x
  3. Step 3: Cross multiply
    6,840.56x = 10,259.01 × 1,909.33
  4. Step 4: Simplify right side
    6,840.56x = 19,587,835.56
  5. Step 5: Solve for x
    x = 19,587,835.56/6,840.56
  6. Step 6: Final answer
    x = 2,863.49

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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.