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Finding the Fourth Proportional to 5,174.25, 7,762.11 and 1,663.08

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Solution

The fourth proportional to 5,174.25, 7,762.11 and 1,663.08 is: 2,494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.25 : 7,762.11 = 1,663.08 : x
  2. Step 2: Convert to fraction form
    5,174.25/7,762.11 = 1,663.08/x
  3. Step 3: Cross multiply
    5,174.25x = 7,762.11 × 1,663.08
  4. Step 4: Simplify right side
    5,174.25x = 12,909,009.90
  5. Step 5: Solve for x
    x = 12,909,009.90/5,174.25
  6. Step 6: Final answer
    x = 2,494.86

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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.