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Finding the Fourth Proportional to 1,661.70, 2,479.68 and 1,477.65

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Solution

The fourth proportional to 1,661.70, 2,479.68 and 1,477.65 is: 2,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.70 : 2,479.68 = 1,477.65 : x
  2. Step 2: Convert to fraction form
    1,661.70/2,479.68 = 1,477.65/x
  3. Step 3: Cross multiply
    1,661.70x = 2,479.68 × 1,477.65
  4. Step 4: Simplify right side
    1,661.70x = 3,664,099.15
  5. Step 5: Solve for x
    x = 3,664,099.15/1,661.70
  6. Step 6: Final answer
    x = 2,205.03

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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.