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Finding the Fourth Proportional to 2,015.78, 3,023.73 and 554.93

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Solution

The fourth proportional to 2,015.78, 3,023.73 and 554.93 is: 832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.78 : 3,023.73 = 554.93 : x
  2. Step 2: Convert to fraction form
    2,015.78/3,023.73 = 554.93/x
  3. Step 3: Cross multiply
    2,015.78x = 3,023.73 × 554.93
  4. Step 4: Simplify right side
    2,015.78x = 1,677,958.49
  5. Step 5: Solve for x
    x = 1,677,958.49/2,015.78
  6. Step 6: Final answer
    x = 832.41

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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.