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Finding the Fourth Proportional to 12,884.14, 17,774.97 and 7,505.77

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Solution

The fourth proportional to 12,884.14, 17,774.97 and 7,505.77 is: 10,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.14 : 17,774.97 = 7,505.77 : x
  2. Step 2: Convert to fraction form
    12,884.14/17,774.97 = 7,505.77/x
  3. Step 3: Cross multiply
    12,884.14x = 17,774.97 × 7,505.77
  4. Step 4: Simplify right side
    12,884.14x = 133,414,836.58
  5. Step 5: Solve for x
    x = 133,414,836.58/12,884.14
  6. Step 6: Final answer
    x = 10,354.97

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1.5x scale

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.