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Finding the Fourth Proportional to 1,957.80, 2,920.20 and 1,821.72

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Solution

The fourth proportional to 1,957.80, 2,920.20 and 1,821.72 is: 2,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.80 : 2,920.20 = 1,821.72 : x
  2. Step 2: Convert to fraction form
    1,957.80/2,920.20 = 1,821.72/x
  3. Step 3: Cross multiply
    1,957.80x = 2,920.20 × 1,821.72
  4. Step 4: Simplify right side
    1,957.80x = 5,319,786.74
  5. Step 5: Solve for x
    x = 5,319,786.74/1,957.80
  6. Step 6: Final answer
    x = 2,717.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.