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Finding the Fourth Proportional to 13,774.38, 19,008.71 and 7,486.75

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Solution

The fourth proportional to 13,774.38, 19,008.71 and 7,486.75 is: 10,331.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.38 : 19,008.71 = 7,486.75 : x
  2. Step 2: Convert to fraction form
    13,774.38/19,008.71 = 7,486.75/x
  3. Step 3: Cross multiply
    13,774.38x = 19,008.71 × 7,486.75
  4. Step 4: Simplify right side
    13,774.38x = 142,313,459.59
  5. Step 5: Solve for x
    x = 142,313,459.59/13,774.38
  6. Step 6: Final answer
    x = 10,331.75

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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.