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Finding the Fourth Proportional to 2,014.78, 3,021.84 and 554.04

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Solution

The fourth proportional to 2,014.78, 3,021.84 and 554.04 is: 830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.78 : 3,021.84 = 554.04 : x
  2. Step 2: Convert to fraction form
    2,014.78/3,021.84 = 554.04/x
  3. Step 3: Cross multiply
    2,014.78x = 3,021.84 × 554.04
  4. Step 4: Simplify right side
    2,014.78x = 1,674,220.23
  5. Step 5: Solve for x
    x = 1,674,220.23/2,014.78
  6. Step 6: Final answer
    x = 830.97

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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.