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Finding the Fourth Proportional to 1,219.38, 1,830.24 and 786.84

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Solution

The fourth proportional to 1,219.38, 1,830.24 and 786.84 is: 1,181.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.38 : 1,830.24 = 786.84 : x
  2. Step 2: Convert to fraction form
    1,219.38/1,830.24 = 786.84/x
  3. Step 3: Cross multiply
    1,219.38x = 1,830.24 × 786.84
  4. Step 4: Simplify right side
    1,219.38x = 1,440,106.04
  5. Step 5: Solve for x
    x = 1,440,106.04/1,219.38
  6. Step 6: Final answer
    x = 1,181.01

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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.