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Finding the Fourth Proportional to 2,561.60, 3,843 and 830.22

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Solution

The fourth proportional to 2,561.60, 3,843 and 830.22 is: 1,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.60 : 3,843 = 830.22 : x
  2. Step 2: Convert to fraction form
    2,561.60/3,843 = 830.22/x
  3. Step 3: Cross multiply
    2,561.60x = 3,843 × 830.22
  4. Step 4: Simplify right side
    2,561.60x = 3,190,535.46
  5. Step 5: Solve for x
    x = 3,190,535.46/2,561.60
  6. Step 6: Final answer
    x = 1,245.52

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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.