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Finding the Fourth Proportional to 5,200.55, 7,170.18 and 3,783.14

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Solution

The fourth proportional to 5,200.55, 7,170.18 and 3,783.14 is: 5,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.55 : 7,170.18 = 3,783.14 : x
  2. Step 2: Convert to fraction form
    5,200.55/7,170.18 = 3,783.14/x
  3. Step 3: Cross multiply
    5,200.55x = 7,170.18 × 3,783.14
  4. Step 4: Simplify right side
    5,200.55x = 27,125,794.77
  5. Step 5: Solve for x
    x = 27,125,794.77/5,200.55
  6. Step 6: Final answer
    x = 5,215.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.