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Finding the Fourth Proportional to 4,678, 7,017 and 2,947.84

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Solution

The fourth proportional to 4,678, 7,017 and 2,947.84 is: 4,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678 : 7,017 = 2,947.84 : x
  2. Step 2: Convert to fraction form
    4,678/7,017 = 2,947.84/x
  3. Step 3: Cross multiply
    4,678x = 7,017 × 2,947.84
  4. Step 4: Simplify right side
    4,678x = 20,684,993.28
  5. Step 5: Solve for x
    x = 20,684,993.28/4,678
  6. Step 6: Final answer
    x = 4,421.76

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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.