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Finding the Fourth Proportional to 3,278.19, 4,918.19 and 1,429.46

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Solution

The fourth proportional to 3,278.19, 4,918.19 and 1,429.46 is: 2,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.19 : 4,918.19 = 1,429.46 : x
  2. Step 2: Convert to fraction form
    3,278.19/4,918.19 = 1,429.46/x
  3. Step 3: Cross multiply
    3,278.19x = 4,918.19 × 1,429.46
  4. Step 4: Simplify right side
    3,278.19x = 7,030,368.17
  5. Step 5: Solve for x
    x = 7,030,368.17/3,278.19
  6. Step 6: Final answer
    x = 2,144.59

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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.