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Finding the Fourth Proportional to 2,016.78, 3,025.14 and 555.90

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Solution

The fourth proportional to 2,016.78, 3,025.14 and 555.90 is: 833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.78 : 3,025.14 = 555.90 : x
  2. Step 2: Convert to fraction form
    2,016.78/3,025.14 = 555.90/x
  3. Step 3: Cross multiply
    2,016.78x = 3,025.14 × 555.90
  4. Step 4: Simplify right side
    2,016.78x = 1,681,675.33
  5. Step 5: Solve for x
    x = 1,681,675.33/2,016.78
  6. Step 6: Final answer
    x = 833.84

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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.