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Finding the Fourth Proportional to 11,702.70, 17,551.31 and 3,911.51

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Solution

The fourth proportional to 11,702.70, 17,551.31 and 3,911.51 is: 5,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.70 : 17,551.31 = 3,911.51 : x
  2. Step 2: Convert to fraction form
    11,702.70/17,551.31 = 3,911.51/x
  3. Step 3: Cross multiply
    11,702.70x = 17,551.31 × 3,911.51
  4. Step 4: Simplify right side
    11,702.70x = 68,652,017.26
  5. Step 5: Solve for x
    x = 68,652,017.26/11,702.70
  6. Step 6: Final answer
    x = 5,866.34

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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.