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Finding the Fourth Proportional to 1,662.93, 2,482.19 and 1,445.09

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Solution

The fourth proportional to 1,662.93, 2,482.19 and 1,445.09 is: 2,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.93 : 2,482.19 = 1,445.09 : x
  2. Step 2: Convert to fraction form
    1,662.93/2,482.19 = 1,445.09/x
  3. Step 3: Cross multiply
    1,662.93x = 2,482.19 × 1,445.09
  4. Step 4: Simplify right side
    1,662.93x = 3,586,995.82
  5. Step 5: Solve for x
    x = 3,586,995.82/1,662.93
  6. Step 6: Final answer
    x = 2,157.03

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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.