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Finding the Fourth Proportional to 2,001.81, 3,004.13 and 703.38

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Solution

The fourth proportional to 2,001.81, 3,004.13 and 703.38 is: 1,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.81 : 3,004.13 = 703.38 : x
  2. Step 2: Convert to fraction form
    2,001.81/3,004.13 = 703.38/x
  3. Step 3: Cross multiply
    2,001.81x = 3,004.13 × 703.38
  4. Step 4: Simplify right side
    2,001.81x = 2,113,046.72
  5. Step 5: Solve for x
    x = 2,113,046.72/2,001.81
  6. Step 6: Final answer
    x = 1,055.57

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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.