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Finding the Fourth Proportional to 1,633.88, 2,253.86 and 1,035.28

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Solution

The fourth proportional to 1,633.88, 2,253.86 and 1,035.28 is: 1,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.88 : 2,253.86 = 1,035.28 : x
  2. Step 2: Convert to fraction form
    1,633.88/2,253.86 = 1,035.28/x
  3. Step 3: Cross multiply
    1,633.88x = 2,253.86 × 1,035.28
  4. Step 4: Simplify right side
    1,633.88x = 2,333,376.18
  5. Step 5: Solve for x
    x = 2,333,376.18/1,633.88
  6. Step 6: Final answer
    x = 1,428.12

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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.