Home / 1,971.90-2,721.60-1,164.94

Finding the Fourth Proportional to 1,971.90, 2,721.60 and 1,164.94

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Solution

The fourth proportional to 1,971.90, 2,721.60 and 1,164.94 is: 1,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.90 : 2,721.60 = 1,164.94 : x
  2. Step 2: Convert to fraction form
    1,971.90/2,721.60 = 1,164.94/x
  3. Step 3: Cross multiply
    1,971.90x = 2,721.60 × 1,164.94
  4. Step 4: Simplify right side
    1,971.90x = 3,170,493.90
  5. Step 5: Solve for x
    x = 3,170,493.90/1,971.90
  6. Step 6: Final answer
    x = 1,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.