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Finding the Fourth Proportional to 4,678, 7,018.08 and 1,600

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Solution

The fourth proportional to 4,678, 7,018.08 and 1,600 is: 2,400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 7,018.08 = 1,600 : x
  2. Step 2: Convert to fraction form
    4,678/7,018.08 = 1,600/x
  3. Step 3: Cross multiply
    4,678x = 7,018.08 × 1,600
  4. Step 4: Simplify right side
    4,678x = 11,228,928
  5. Step 5: Solve for x
    x = 11,228,928/4,678
  6. Step 6: Final answer
    x = 2,400.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.