Home / 2,154-2,972.88-1,222.32

Finding the Fourth Proportional to 2,154, 2,972.88 and 1,222.32

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Solution

The fourth proportional to 2,154, 2,972.88 and 1,222.32 is: 1,687.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154 : 2,972.88 = 1,222.32 : x
  2. Step 2: Convert to fraction form
    2,154/2,972.88 = 1,222.32/x
  3. Step 3: Cross multiply
    2,154x = 2,972.88 × 1,222.32
  4. Step 4: Simplify right side
    2,154x = 3,633,810.68
  5. Step 5: Solve for x
    x = 3,633,810.68/2,154
  6. Step 6: Final answer
    x = 1,687.01

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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.