Home / 1,821.61-2,732.55-523.18

Finding the Fourth Proportional to 1,821.61, 2,732.55 and 523.18

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Solution

The fourth proportional to 1,821.61, 2,732.55 and 523.18 is: 784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.61 : 2,732.55 = 523.18 : x
  2. Step 2: Convert to fraction form
    1,821.61/2,732.55 = 523.18/x
  3. Step 3: Cross multiply
    1,821.61x = 2,732.55 × 523.18
  4. Step 4: Simplify right side
    1,821.61x = 1,429,615.51
  5. Step 5: Solve for x
    x = 1,429,615.51/1,821.61
  6. Step 6: Final answer
    x = 784.81

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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.