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Finding the Fourth Proportional to 2,784.75, 4,177.05 and 936.01

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Solution

The fourth proportional to 2,784.75, 4,177.05 and 936.01 is: 1,403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.75 : 4,177.05 = 936.01 : x
  2. Step 2: Convert to fraction form
    2,784.75/4,177.05 = 936.01/x
  3. Step 3: Cross multiply
    2,784.75x = 4,177.05 × 936.01
  4. Step 4: Simplify right side
    2,784.75x = 3,909,760.57
  5. Step 5: Solve for x
    x = 3,909,760.57/2,784.75
  6. Step 6: Final answer
    x = 1,403.99

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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.