Home / 1,421.16-1,960.38-896.28

Finding the Fourth Proportional to 1,421.16, 1,960.38 and 896.28

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Solution

The fourth proportional to 1,421.16, 1,960.38 and 896.28 is: 1,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.16 : 1,960.38 = 896.28 : x
  2. Step 2: Convert to fraction form
    1,421.16/1,960.38 = 896.28/x
  3. Step 3: Cross multiply
    1,421.16x = 1,960.38 × 896.28
  4. Step 4: Simplify right side
    1,421.16x = 1,757,049.39
  5. Step 5: Solve for x
    x = 1,757,049.39/1,421.16
  6. Step 6: Final answer
    x = 1,236.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.