Home / 2,121.36-3,180.42-1,428

Finding the Fourth Proportional to 2,121.36, 3,180.42 and 1,428

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Solution

The fourth proportional to 2,121.36, 3,180.42 and 1,428 is: 2,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.36 : 3,180.42 = 1,428 : x
  2. Step 2: Convert to fraction form
    2,121.36/3,180.42 = 1,428/x
  3. Step 3: Cross multiply
    2,121.36x = 3,180.42 × 1,428
  4. Step 4: Simplify right side
    2,121.36x = 4,541,639.76
  5. Step 5: Solve for x
    x = 4,541,639.76/2,121.36
  6. Step 6: Final answer
    x = 2,140.91

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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.