Home / 3,702.80-5,555.82-1,971

Finding the Fourth Proportional to 3,702.80, 5,555.82 and 1,971

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Solution

The fourth proportional to 3,702.80, 5,555.82 and 1,971 is: 2,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.80 : 5,555.82 = 1,971 : x
  2. Step 2: Convert to fraction form
    3,702.80/5,555.82 = 1,971/x
  3. Step 3: Cross multiply
    3,702.80x = 5,555.82 × 1,971
  4. Step 4: Simplify right side
    3,702.80x = 10,950,521.22
  5. Step 5: Solve for x
    x = 10,950,521.22/3,702.80
  6. Step 6: Final answer
    x = 2,957.36

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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.