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Finding the Fourth Proportional to 3,208, 4,812.14 and 1,016.89

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Solution

The fourth proportional to 3,208, 4,812.14 and 1,016.89 is: 1,525.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208 : 4,812.14 = 1,016.89 : x
  2. Step 2: Convert to fraction form
    3,208/4,812.14 = 1,016.89/x
  3. Step 3: Cross multiply
    3,208x = 4,812.14 × 1,016.89
  4. Step 4: Simplify right side
    3,208x = 4,893,417.04
  5. Step 5: Solve for x
    x = 4,893,417.04/3,208
  6. Step 6: Final answer
    x = 1,525.38

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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.