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Finding the Fourth Proportional to 1,821.71, 2,732.54 and 523.17

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Solution

The fourth proportional to 1,821.71, 2,732.54 and 523.17 is: 784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.71 : 2,732.54 = 523.17 : x
  2. Step 2: Convert to fraction form
    1,821.71/2,732.54 = 523.17/x
  3. Step 3: Cross multiply
    1,821.71x = 2,732.54 × 523.17
  4. Step 4: Simplify right side
    1,821.71x = 1,429,582.95
  5. Step 5: Solve for x
    x = 1,429,582.95/1,821.71
  6. Step 6: Final answer
    x = 784.75

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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.