Home / 1,431.54-2,147.19-972.27

Finding the Fourth Proportional to 1,431.54, 2,147.19 and 972.27

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Solution

The fourth proportional to 1,431.54, 2,147.19 and 972.27 is: 1,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.54 : 2,147.19 = 972.27 : x
  2. Step 2: Convert to fraction form
    1,431.54/2,147.19 = 972.27/x
  3. Step 3: Cross multiply
    1,431.54x = 2,147.19 × 972.27
  4. Step 4: Simplify right side
    1,431.54x = 2,087,648.42
  5. Step 5: Solve for x
    x = 2,087,648.42/1,431.54
  6. Step 6: Final answer
    x = 1,458.32

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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.