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Finding the Fourth Proportional to 11,490, 17,221.15 and 5,940.35

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Solution

The fourth proportional to 11,490, 17,221.15 and 5,940.35 is: 8,903.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490 : 17,221.15 = 5,940.35 : x
  2. Step 2: Convert to fraction form
    11,490/17,221.15 = 5,940.35/x
  3. Step 3: Cross multiply
    11,490x = 17,221.15 × 5,940.35
  4. Step 4: Simplify right side
    11,490x = 102,299,658.40
  5. Step 5: Solve for x
    x = 102,299,658.40/11,490
  6. Step 6: Final answer
    x = 8,903.36

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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.