Home / 3,428-5,141.46-1,579.04

Finding the Fourth Proportional to 3,428, 5,141.46 and 1,579.04

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Solution

The fourth proportional to 3,428, 5,141.46 and 1,579.04 is: 2,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428 : 5,141.46 = 1,579.04 : x
  2. Step 2: Convert to fraction form
    3,428/5,141.46 = 1,579.04/x
  3. Step 3: Cross multiply
    3,428x = 5,141.46 × 1,579.04
  4. Step 4: Simplify right side
    3,428x = 8,118,571.00
  5. Step 5: Solve for x
    x = 8,118,571.00/3,428
  6. Step 6: Final answer
    x = 2,368.31

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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.