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Finding the Fourth Proportional to 1,634, 2,256.84 and 1,109.12

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Solution

The fourth proportional to 1,634, 2,256.84 and 1,109.12 is: 1,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634 : 2,256.84 = 1,109.12 : x
  2. Step 2: Convert to fraction form
    1,634/2,256.84 = 1,109.12/x
  3. Step 3: Cross multiply
    1,634x = 2,256.84 × 1,109.12
  4. Step 4: Simplify right side
    1,634x = 2,503,106.38
  5. Step 5: Solve for x
    x = 2,503,106.38/1,634
  6. Step 6: Final answer
    x = 1,531.89

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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.