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Finding the Fourth Proportional to 5,102.02, 7,652.49 and 1,639

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Solution

The fourth proportional to 5,102.02, 7,652.49 and 1,639 is: 2,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.02 : 7,652.49 = 1,639 : x
  2. Step 2: Convert to fraction form
    5,102.02/7,652.49 = 1,639/x
  3. Step 3: Cross multiply
    5,102.02x = 7,652.49 × 1,639
  4. Step 4: Simplify right side
    5,102.02x = 12,542,431.11
  5. Step 5: Solve for x
    x = 12,542,431.11/5,102.02
  6. Step 6: Final answer
    x = 2,458.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.