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Finding the Fourth Proportional to 7,209.57, 10,820.75 and 3,702.03

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Solution

The fourth proportional to 7,209.57, 10,820.75 and 3,702.03 is: 5,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.57 : 10,820.75 = 3,702.03 : x
  2. Step 2: Convert to fraction form
    7,209.57/10,820.75 = 3,702.03/x
  3. Step 3: Cross multiply
    7,209.57x = 10,820.75 × 3,702.03
  4. Step 4: Simplify right side
    7,209.57x = 40,058,722.61
  5. Step 5: Solve for x
    x = 40,058,722.61/7,209.57
  6. Step 6: Final answer
    x = 5,556.33

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