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Finding the Fourth Proportional to 1,836, 2,732.40 and 1,794.96

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Solution

The fourth proportional to 1,836, 2,732.40 and 1,794.96 is: 2,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 2,732.40 = 1,794.96 : x
  2. Step 2: Convert to fraction form
    1,836/2,732.40 = 1,794.96/x
  3. Step 3: Cross multiply
    1,836x = 2,732.40 × 1,794.96
  4. Step 4: Simplify right side
    1,836x = 4,904,548.70
  5. Step 5: Solve for x
    x = 4,904,548.70/1,836
  6. Step 6: Final answer
    x = 2,671.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.