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Finding the Fourth Proportional to 5,147.70, 7,723.29 and 1,638.30

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Solution

The fourth proportional to 5,147.70, 7,723.29 and 1,638.30 is: 2,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.70 : 7,723.29 = 1,638.30 : x
  2. Step 2: Convert to fraction form
    5,147.70/7,723.29 = 1,638.30/x
  3. Step 3: Cross multiply
    5,147.70x = 7,723.29 × 1,638.30
  4. Step 4: Simplify right side
    5,147.70x = 12,653,066.01
  5. Step 5: Solve for x
    x = 12,653,066.01/5,147.70
  6. Step 6: Final answer
    x = 2,458.00

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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.