Home / 2,153.64-3,232.08-1,427.88

Finding the Fourth Proportional to 2,153.64, 3,232.08 and 1,427.88

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Solution

The fourth proportional to 2,153.64, 3,232.08 and 1,427.88 is: 2,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.64 : 3,232.08 = 1,427.88 : x
  2. Step 2: Convert to fraction form
    2,153.64/3,232.08 = 1,427.88/x
  3. Step 3: Cross multiply
    2,153.64x = 3,232.08 × 1,427.88
  4. Step 4: Simplify right side
    2,153.64x = 4,615,022.39
  5. Step 5: Solve for x
    x = 4,615,022.39/2,153.64
  6. Step 6: Final answer
    x = 2,142.89

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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.