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Finding the Fourth Proportional to 1,968.57, 2,958.42 and 1,487.43

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Solution

The fourth proportional to 1,968.57, 2,958.42 and 1,487.43 is: 2,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.57 : 2,958.42 = 1,487.43 : x
  2. Step 2: Convert to fraction form
    1,968.57/2,958.42 = 1,487.43/x
  3. Step 3: Cross multiply
    1,968.57x = 2,958.42 × 1,487.43
  4. Step 4: Simplify right side
    1,968.57x = 4,400,442.66
  5. Step 5: Solve for x
    x = 4,400,442.66/1,968.57
  6. Step 6: Final answer
    x = 2,235.35

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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.