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Finding the Fourth Proportional to 2,289.16, 3,431.49 and 901.63

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Solution

The fourth proportional to 2,289.16, 3,431.49 and 901.63 is: 1,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.16 : 3,431.49 = 901.63 : x
  2. Step 2: Convert to fraction form
    2,289.16/3,431.49 = 901.63/x
  3. Step 3: Cross multiply
    2,289.16x = 3,431.49 × 901.63
  4. Step 4: Simplify right side
    2,289.16x = 3,093,934.33
  5. Step 5: Solve for x
    x = 3,093,934.33/2,289.16
  6. Step 6: Final answer
    x = 1,351.56

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1.5x scale

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.