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Finding the Fourth Proportional to 3,870.75, 5,352.11 and 3,808.20

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Solution

The fourth proportional to 3,870.75, 5,352.11 and 3,808.20 is: 5,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.75 : 5,352.11 = 3,808.20 : x
  2. Step 2: Convert to fraction form
    3,870.75/5,352.11 = 3,808.20/x
  3. Step 3: Cross multiply
    3,870.75x = 5,352.11 × 3,808.20
  4. Step 4: Simplify right side
    3,870.75x = 20,381,905.30
  5. Step 5: Solve for x
    x = 20,381,905.30/3,870.75
  6. Step 6: Final answer
    x = 5,265.62

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1.5x scale

Why These Related Problems?

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