Home / 1,971.80-2,721.09-1,186.10

Finding the Fourth Proportional to 1,971.80, 2,721.09 and 1,186.10

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Solution

The fourth proportional to 1,971.80, 2,721.09 and 1,186.10 is: 1,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.80 : 2,721.09 = 1,186.10 : x
  2. Step 2: Convert to fraction form
    1,971.80/2,721.09 = 1,186.10/x
  3. Step 3: Cross multiply
    1,971.80x = 2,721.09 × 1,186.10
  4. Step 4: Simplify right side
    1,971.80x = 3,227,471.24
  5. Step 5: Solve for x
    x = 3,227,471.24/1,971.80
  6. Step 6: Final answer
    x = 1,636.82

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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.