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Finding the Fourth Proportional to 1,911.07, 2,867.06 and 936.03

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Solution

The fourth proportional to 1,911.07, 2,867.06 and 936.03 is: 1,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.07 : 2,867.06 = 936.03 : x
  2. Step 2: Convert to fraction form
    1,911.07/2,867.06 = 936.03/x
  3. Step 3: Cross multiply
    1,911.07x = 2,867.06 × 936.03
  4. Step 4: Simplify right side
    1,911.07x = 2,683,654.17
  5. Step 5: Solve for x
    x = 2,683,654.17/1,911.07
  6. Step 6: Final answer
    x = 1,404.27

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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.