Home / 1,522.42-2,283.84-1,431.28

Finding the Fourth Proportional to 1,522.42, 2,283.84 and 1,431.28

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Solution

The fourth proportional to 1,522.42, 2,283.84 and 1,431.28 is: 2,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.42 : 2,283.84 = 1,431.28 : x
  2. Step 2: Convert to fraction form
    1,522.42/2,283.84 = 1,431.28/x
  3. Step 3: Cross multiply
    1,522.42x = 2,283.84 × 1,431.28
  4. Step 4: Simplify right side
    1,522.42x = 3,268,814.52
  5. Step 5: Solve for x
    x = 3,268,814.52/1,522.42
  6. Step 6: Final answer
    x = 2,147.12

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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.