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Finding the Fourth Proportional to 3,500.10, 5,251.16 and 1,035

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Solution

The fourth proportional to 3,500.10, 5,251.16 and 1,035 is: 1,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.10 : 5,251.16 = 1,035 : x
  2. Step 2: Convert to fraction form
    3,500.10/5,251.16 = 1,035/x
  3. Step 3: Cross multiply
    3,500.10x = 5,251.16 × 1,035
  4. Step 4: Simplify right side
    3,500.10x = 5,434,950.60
  5. Step 5: Solve for x
    x = 5,434,950.60/3,500.10
  6. Step 6: Final answer
    x = 1,552.80

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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.