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Finding the Fourth Proportional to 5,168.10, 7,752.15 and 3,872.10

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Solution

The fourth proportional to 5,168.10, 7,752.15 and 3,872.10 is: 5,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.10 : 7,752.15 = 3,872.10 : x
  2. Step 2: Convert to fraction form
    5,168.10/7,752.15 = 3,872.10/x
  3. Step 3: Cross multiply
    5,168.10x = 7,752.15 × 3,872.10
  4. Step 4: Simplify right side
    5,168.10x = 30,017,100.02
  5. Step 5: Solve for x
    x = 30,017,100.02/5,168.10
  6. Step 6: Final answer
    x = 5,808.15

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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.