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Finding the Fourth Proportional to 4,786.88, 7,182.16 and 1,667.22

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Solution

The fourth proportional to 4,786.88, 7,182.16 and 1,667.22 is: 2,501.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.88 : 7,182.16 = 1,667.22 : x
  2. Step 2: Convert to fraction form
    4,786.88/7,182.16 = 1,667.22/x
  3. Step 3: Cross multiply
    4,786.88x = 7,182.16 × 1,667.22
  4. Step 4: Simplify right side
    4,786.88x = 11,974,240.80
  5. Step 5: Solve for x
    x = 11,974,240.80/4,786.88
  6. Step 6: Final answer
    x = 2,501.47

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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.