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Finding the Fourth Proportional to 2,013.50, 3,019.78 and 552.78

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Solution

The fourth proportional to 2,013.50, 3,019.78 and 552.78 is: 829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.50 : 3,019.78 = 552.78 : x
  2. Step 2: Convert to fraction form
    2,013.50/3,019.78 = 552.78/x
  3. Step 3: Cross multiply
    2,013.50x = 3,019.78 × 552.78
  4. Step 4: Simplify right side
    2,013.50x = 1,669,273.99
  5. Step 5: Solve for x
    x = 1,669,273.99/2,013.50
  6. Step 6: Final answer
    x = 829.04

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1.5x scale

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.