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Finding the Fourth Proportional to 2,816.68, 3,883.30 and 2,310.68

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Solution

The fourth proportional to 2,816.68, 3,883.30 and 2,310.68 is: 3,185.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.68 : 3,883.30 = 2,310.68 : x
  2. Step 2: Convert to fraction form
    2,816.68/3,883.30 = 2,310.68/x
  3. Step 3: Cross multiply
    2,816.68x = 3,883.30 × 2,310.68
  4. Step 4: Simplify right side
    2,816.68x = 8,973,063.64
  5. Step 5: Solve for x
    x = 8,973,063.64/2,816.68
  6. Step 6: Final answer
    x = 3,185.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.