Home / 3,642-5,025.96-2,070.20

Finding the Fourth Proportional to 3,642, 5,025.96 and 2,070.20

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Solution

The fourth proportional to 3,642, 5,025.96 and 2,070.20 is: 2,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,025.96 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    3,642/5,025.96 = 2,070.20/x
  3. Step 3: Cross multiply
    3,642x = 5,025.96 × 2,070.20
  4. Step 4: Simplify right side
    3,642x = 10,404,717.26
  5. Step 5: Solve for x
    x = 10,404,717.26/3,642
  6. Step 6: Final answer
    x = 2,856.87

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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.