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Finding the Fourth Proportional to 4,412, 6,619.20 and 3,116

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Solution

The fourth proportional to 4,412, 6,619.20 and 3,116 is: 4,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412 : 6,619.20 = 3,116 : x
  2. Step 2: Convert to fraction form
    4,412/6,619.20 = 3,116/x
  3. Step 3: Cross multiply
    4,412x = 6,619.20 × 3,116
  4. Step 4: Simplify right side
    4,412x = 20,625,427.20
  5. Step 5: Solve for x
    x = 20,625,427.20/4,412
  6. Step 6: Final answer
    x = 4,674.85

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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.