Home / 2,289.16-3,431.40-1,057.48

Finding the Fourth Proportional to 2,289.16, 3,431.40 and 1,057.48

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Solution

The fourth proportional to 2,289.16, 3,431.40 and 1,057.48 is: 1,585.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.16 : 3,431.40 = 1,057.48 : x
  2. Step 2: Convert to fraction form
    2,289.16/3,431.40 = 1,057.48/x
  3. Step 3: Cross multiply
    2,289.16x = 3,431.40 × 1,057.48
  4. Step 4: Simplify right side
    2,289.16x = 3,628,636.87
  5. Step 5: Solve for x
    x = 3,628,636.87/2,289.16
  6. Step 6: Final answer
    x = 1,585.14

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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.