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Finding the Fourth Proportional to 1,971.93, 2,958.32 and 1,649.55

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Solution

The fourth proportional to 1,971.93, 2,958.32 and 1,649.55 is: 2,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.93 : 2,958.32 = 1,649.55 : x
  2. Step 2: Convert to fraction form
    1,971.93/2,958.32 = 1,649.55/x
  3. Step 3: Cross multiply
    1,971.93x = 2,958.32 × 1,649.55
  4. Step 4: Simplify right side
    1,971.93x = 4,879,896.76
  5. Step 5: Solve for x
    x = 4,879,896.76/1,971.93
  6. Step 6: Final answer
    x = 2,474.68

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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.