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Finding the Fourth Proportional to 2,015.62, 3,023.39 and 554.78

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Solution

The fourth proportional to 2,015.62, 3,023.39 and 554.78 is: 832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.62 : 3,023.39 = 554.78 : x
  2. Step 2: Convert to fraction form
    2,015.62/3,023.39 = 554.78/x
  3. Step 3: Cross multiply
    2,015.62x = 3,023.39 × 554.78
  4. Step 4: Simplify right side
    2,015.62x = 1,677,325.25
  5. Step 5: Solve for x
    x = 1,677,325.25/2,015.62
  6. Step 6: Final answer
    x = 832.16

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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.