Home / 3,212-4,817.28-1,567.76

Finding the Fourth Proportional to 3,212, 4,817.28 and 1,567.76

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Solution

The fourth proportional to 3,212, 4,817.28 and 1,567.76 is: 2,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 4,817.28 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    3,212/4,817.28 = 1,567.76/x
  3. Step 3: Cross multiply
    3,212x = 4,817.28 × 1,567.76
  4. Step 4: Simplify right side
    3,212x = 7,552,338.89
  5. Step 5: Solve for x
    x = 7,552,338.89/3,212
  6. Step 6: Final answer
    x = 2,351.29

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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.