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Finding the Fourth Proportional to 5,657.54, 7,808.89 and 3,174.34

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Solution

The fourth proportional to 5,657.54, 7,808.89 and 3,174.34 is: 4,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.54 : 7,808.89 = 3,174.34 : x
  2. Step 2: Convert to fraction form
    5,657.54/7,808.89 = 3,174.34/x
  3. Step 3: Cross multiply
    5,657.54x = 7,808.89 × 3,174.34
  4. Step 4: Simplify right side
    5,657.54x = 24,788,071.88
  5. Step 5: Solve for x
    x = 24,788,071.88/5,657.54
  6. Step 6: Final answer
    x = 4,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.