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Finding the Fourth Proportional to 5,101.63, 7,651.72 and 1,638.43

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Solution

The fourth proportional to 5,101.63, 7,651.72 and 1,638.43 is: 2,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.63 : 7,651.72 = 1,638.43 : x
  2. Step 2: Convert to fraction form
    5,101.63/7,651.72 = 1,638.43/x
  3. Step 3: Cross multiply
    5,101.63x = 7,651.72 × 1,638.43
  4. Step 4: Simplify right side
    5,101.63x = 12,536,807.60
  5. Step 5: Solve for x
    x = 12,536,807.60/5,101.63
  6. Step 6: Final answer
    x = 2,457.41

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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.