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Finding the Fourth Proportional to 3,361.70, 4,639.00 and 1,869.35

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Solution

The fourth proportional to 3,361.70, 4,639.00 and 1,869.35 is: 2,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.70 : 4,639.00 = 1,869.35 : x
  2. Step 2: Convert to fraction form
    3,361.70/4,639.00 = 1,869.35/x
  3. Step 3: Cross multiply
    3,361.70x = 4,639.00 × 1,869.35
  4. Step 4: Simplify right side
    3,361.70x = 8,671,924.17
  5. Step 5: Solve for x
    x = 8,671,924.17/3,361.70
  6. Step 6: Final answer
    x = 2,579.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.