Home / 2,154.49-3,232.14-1,424.68

Finding the Fourth Proportional to 2,154.49, 3,232.14 and 1,424.68

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Solution

The fourth proportional to 2,154.49, 3,232.14 and 1,424.68 is: 2,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.49 : 3,232.14 = 1,424.68 : x
  2. Step 2: Convert to fraction form
    2,154.49/3,232.14 = 1,424.68/x
  3. Step 3: Cross multiply
    2,154.49x = 3,232.14 × 1,424.68
  4. Step 4: Simplify right side
    2,154.49x = 4,604,765.22
  5. Step 5: Solve for x
    x = 4,604,765.22/2,154.49
  6. Step 6: Final answer
    x = 2,137.29

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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.