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Finding the Fourth Proportional to 3,500.98, 5,247.84 and 1,857.10

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Solution

The fourth proportional to 3,500.98, 5,247.84 and 1,857.10 is: 2,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.98 : 5,247.84 = 1,857.10 : x
  2. Step 2: Convert to fraction form
    3,500.98/5,247.84 = 1,857.10/x
  3. Step 3: Cross multiply
    3,500.98x = 5,247.84 × 1,857.10
  4. Step 4: Simplify right side
    3,500.98x = 9,745,763.66
  5. Step 5: Solve for x
    x = 9,745,763.66/3,500.98
  6. Step 6: Final answer
    x = 2,783.72

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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.