Home / 1,821.87-2,732.80-523.34

Finding the Fourth Proportional to 1,821.87, 2,732.80 and 523.34

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Solution

The fourth proportional to 1,821.87, 2,732.80 and 523.34 is: 785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.87 : 2,732.80 = 523.34 : x
  2. Step 2: Convert to fraction form
    1,821.87/2,732.80 = 523.34/x
  3. Step 3: Cross multiply
    1,821.87x = 2,732.80 × 523.34
  4. Step 4: Simplify right side
    1,821.87x = 1,430,168.58
  5. Step 5: Solve for x
    x = 1,430,168.58/1,821.87
  6. Step 6: Final answer
    x = 785.00

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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.