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Finding the Fourth Proportional to 11,478, 17,214.52 and 3,687.44

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Solution

The fourth proportional to 11,478, 17,214.52 and 3,687.44 is: 5,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478 : 17,214.52 = 3,687.44 : x
  2. Step 2: Convert to fraction form
    11,478/17,214.52 = 3,687.44/x
  3. Step 3: Cross multiply
    11,478x = 17,214.52 × 3,687.44
  4. Step 4: Simplify right side
    11,478x = 63,477,509.63
  5. Step 5: Solve for x
    x = 63,477,509.63/11,478
  6. Step 6: Final answer
    x = 5,530.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.