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Finding the Fourth Proportional to 1,293.05, 1,936.14 and 828.30

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Solution

The fourth proportional to 1,293.05, 1,936.14 and 828.30 is: 1,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.05 : 1,936.14 = 828.30 : x
  2. Step 2: Convert to fraction form
    1,293.05/1,936.14 = 828.30/x
  3. Step 3: Cross multiply
    1,293.05x = 1,936.14 × 828.30
  4. Step 4: Simplify right side
    1,293.05x = 1,603,704.76
  5. Step 5: Solve for x
    x = 1,603,704.76/1,293.05
  6. Step 6: Final answer
    x = 1,240.25

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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.