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Finding the Fourth Proportional to 1,678.41, 2,506.01 and 1,661.81

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Solution

The fourth proportional to 1,678.41, 2,506.01 and 1,661.81 is: 2,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.41 : 2,506.01 = 1,661.81 : x
  2. Step 2: Convert to fraction form
    1,678.41/2,506.01 = 1,661.81/x
  3. Step 3: Cross multiply
    1,678.41x = 2,506.01 × 1,661.81
  4. Step 4: Simplify right side
    1,678.41x = 4,164,491.64
  5. Step 5: Solve for x
    x = 4,164,491.64/1,678.41
  6. Step 6: Final answer
    x = 2,481.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.