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Finding the Fourth Proportional to 1,632, 2,252.16 and 896

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Solution

The fourth proportional to 1,632, 2,252.16 and 896 is: 1,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632 : 2,252.16 = 896 : x
  2. Step 2: Convert to fraction form
    1,632/2,252.16 = 896/x
  3. Step 3: Cross multiply
    1,632x = 2,252.16 × 896
  4. Step 4: Simplify right side
    1,632x = 2,017,935.36
  5. Step 5: Solve for x
    x = 2,017,935.36/1,632
  6. Step 6: Final answer
    x = 1,236.48

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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.