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Finding the Fourth Proportional to 1,834.80, 2,763.18 and 1,663.44

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Solution

The fourth proportional to 1,834.80, 2,763.18 and 1,663.44 is: 2,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.80 : 2,763.18 = 1,663.44 : x
  2. Step 2: Convert to fraction form
    1,834.80/2,763.18 = 1,663.44/x
  3. Step 3: Cross multiply
    1,834.80x = 2,763.18 × 1,663.44
  4. Step 4: Simplify right side
    1,834.80x = 4,596,384.14
  5. Step 5: Solve for x
    x = 4,596,384.14/1,834.80
  6. Step 6: Final answer
    x = 2,505.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.