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Finding the Fourth Proportional to 2,697.36, 4,043.56 and 965.56

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Solution

The fourth proportional to 2,697.36, 4,043.56 and 965.56 is: 1,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.36 : 4,043.56 = 965.56 : x
  2. Step 2: Convert to fraction form
    2,697.36/4,043.56 = 965.56/x
  3. Step 3: Cross multiply
    2,697.36x = 4,043.56 × 965.56
  4. Step 4: Simplify right side
    2,697.36x = 3,904,299.79
  5. Step 5: Solve for x
    x = 3,904,299.79/2,697.36
  6. Step 6: Final answer
    x = 1,447.45

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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.