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Finding the Fourth Proportional to 3,395, 5,091.70 and 1,419.58

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Solution

The fourth proportional to 3,395, 5,091.70 and 1,419.58 is: 2,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395 : 5,091.70 = 1,419.58 : x
  2. Step 2: Convert to fraction form
    3,395/5,091.70 = 1,419.58/x
  3. Step 3: Cross multiply
    3,395x = 5,091.70 × 1,419.58
  4. Step 4: Simplify right side
    3,395x = 7,228,075.49
  5. Step 5: Solve for x
    x = 7,228,075.49/3,395
  6. Step 6: Final answer
    x = 2,129.04

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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.