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Finding the Fourth Proportional to 4,102.95, 6,155.03 and 2,155.30

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Solution

The fourth proportional to 4,102.95, 6,155.03 and 2,155.30 is: 3,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.95 : 6,155.03 = 2,155.30 : x
  2. Step 2: Convert to fraction form
    4,102.95/6,155.03 = 2,155.30/x
  3. Step 3: Cross multiply
    4,102.95x = 6,155.03 × 2,155.30
  4. Step 4: Simplify right side
    4,102.95x = 13,265,936.16
  5. Step 5: Solve for x
    x = 13,265,936.16/4,102.95
  6. Step 6: Final answer
    x = 3,233.27

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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.