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Finding the Fourth Proportional to 11,610, 17,415.41 and 3,819.42

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Solution

The fourth proportional to 11,610, 17,415.41 and 3,819.42 is: 5,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610 : 17,415.41 = 3,819.42 : x
  2. Step 2: Convert to fraction form
    11,610/17,415.41 = 3,819.42/x
  3. Step 3: Cross multiply
    11,610x = 17,415.41 × 3,819.42
  4. Step 4: Simplify right side
    11,610x = 66,516,746.17
  5. Step 5: Solve for x
    x = 66,516,746.17/11,610
  6. Step 6: Final answer
    x = 5,729.26

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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.