Home / 2,158.50-3,238.14-1,428.68

Finding the Fourth Proportional to 2,158.50, 3,238.14 and 1,428.68

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Solution

The fourth proportional to 2,158.50, 3,238.14 and 1,428.68 is: 2,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.50 : 3,238.14 = 1,428.68 : x
  2. Step 2: Convert to fraction form
    2,158.50/3,238.14 = 1,428.68/x
  3. Step 3: Cross multiply
    2,158.50x = 3,238.14 × 1,428.68
  4. Step 4: Simplify right side
    2,158.50x = 4,626,265.86
  5. Step 5: Solve for x
    x = 4,626,265.86/2,158.50
  6. Step 6: Final answer
    x = 2,143.28

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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.