Home / 2,098.64-3,147.96-1,447.40

Finding the Fourth Proportional to 2,098.64, 3,147.96 and 1,447.40

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Solution

The fourth proportional to 2,098.64, 3,147.96 and 1,447.40 is: 2,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.64 : 3,147.96 = 1,447.40 : x
  2. Step 2: Convert to fraction form
    2,098.64/3,147.96 = 1,447.40/x
  3. Step 3: Cross multiply
    2,098.64x = 3,147.96 × 1,447.40
  4. Step 4: Simplify right side
    2,098.64x = 4,556,357.30
  5. Step 5: Solve for x
    x = 4,556,357.30/2,098.64
  6. Step 6: Final answer
    x = 2,171.10

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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.