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Finding the Fourth Proportional to 2,676.74, 4,015.22 and 728.93

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Solution

The fourth proportional to 2,676.74, 4,015.22 and 728.93 is: 1,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.74 : 4,015.22 = 728.93 : x
  2. Step 2: Convert to fraction form
    2,676.74/4,015.22 = 728.93/x
  3. Step 3: Cross multiply
    2,676.74x = 4,015.22 × 728.93
  4. Step 4: Simplify right side
    2,676.74x = 2,926,820.71
  5. Step 5: Solve for x
    x = 2,926,820.71/2,676.74
  6. Step 6: Final answer
    x = 1,093.43

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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.