Home / 1,972-2,721.36-1,227.36

Finding the Fourth Proportional to 1,972, 2,721.36 and 1,227.36

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Solution

The fourth proportional to 1,972, 2,721.36 and 1,227.36 is: 1,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972 : 2,721.36 = 1,227.36 : x
  2. Step 2: Convert to fraction form
    1,972/2,721.36 = 1,227.36/x
  3. Step 3: Cross multiply
    1,972x = 2,721.36 × 1,227.36
  4. Step 4: Simplify right side
    1,972x = 3,340,088.41
  5. Step 5: Solve for x
    x = 3,340,088.41/1,972
  6. Step 6: Final answer
    x = 1,693.76

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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.