Home / 1,971.92-2,721.60-1,186.08

Finding the Fourth Proportional to 1,971.92, 2,721.60 and 1,186.08

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Solution

The fourth proportional to 1,971.92, 2,721.60 and 1,186.08 is: 1,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.92 : 2,721.60 = 1,186.08 : x
  2. Step 2: Convert to fraction form
    1,971.92/2,721.60 = 1,186.08/x
  3. Step 3: Cross multiply
    1,971.92x = 2,721.60 × 1,186.08
  4. Step 4: Simplify right side
    1,971.92x = 3,228,035.33
  5. Step 5: Solve for x
    x = 3,228,035.33/1,971.92
  6. Step 6: Final answer
    x = 1,637.00

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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.