Home / 1,821.51-2,732.27-780.84

Finding the Fourth Proportional to 1,821.51, 2,732.27 and 780.84

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Solution

The fourth proportional to 1,821.51, 2,732.27 and 780.84 is: 1,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.51 : 2,732.27 = 780.84 : x
  2. Step 2: Convert to fraction form
    1,821.51/2,732.27 = 780.84/x
  3. Step 3: Cross multiply
    1,821.51x = 2,732.27 × 780.84
  4. Step 4: Simplify right side
    1,821.51x = 2,133,461.80
  5. Step 5: Solve for x
    x = 2,133,461.80/1,821.51
  6. Step 6: Final answer
    x = 1,171.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.