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Finding the Fourth Proportional to 1,662.44, 2,494.58 and 1,420.07

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Solution

The fourth proportional to 1,662.44, 2,494.58 and 1,420.07 is: 2,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.44 : 2,494.58 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    1,662.44/2,494.58 = 1,420.07/x
  3. Step 3: Cross multiply
    1,662.44x = 2,494.58 × 1,420.07
  4. Step 4: Simplify right side
    1,662.44x = 3,542,458.65
  5. Step 5: Solve for x
    x = 3,542,458.65/1,662.44
  6. Step 6: Final answer
    x = 2,130.89

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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.