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Finding the Fourth Proportional to 1,817.84, 2,726.80 and 519.35

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Solution

The fourth proportional to 1,817.84, 2,726.80 and 519.35 is: 779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.84 : 2,726.80 = 519.35 : x
  2. Step 2: Convert to fraction form
    1,817.84/2,726.80 = 519.35/x
  3. Step 3: Cross multiply
    1,817.84x = 2,726.80 × 519.35
  4. Step 4: Simplify right side
    1,817.84x = 1,416,148.65
  5. Step 5: Solve for x
    x = 1,416,148.65/1,817.84
  6. Step 6: Final answer
    x = 779.03

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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.