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Finding the Fourth Proportional to 1,941.24, 2,908.95 and 845.01

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Solution

The fourth proportional to 1,941.24, 2,908.95 and 845.01 is: 1,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.24 : 2,908.95 = 845.01 : x
  2. Step 2: Convert to fraction form
    1,941.24/2,908.95 = 845.01/x
  3. Step 3: Cross multiply
    1,941.24x = 2,908.95 × 845.01
  4. Step 4: Simplify right side
    1,941.24x = 2,458,091.84
  5. Step 5: Solve for x
    x = 2,458,091.84/1,941.24
  6. Step 6: Final answer
    x = 1,266.25

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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.