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Finding the Fourth Proportional to 5,318, 7,978.68 and 2,396.56

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Solution

The fourth proportional to 5,318, 7,978.68 and 2,396.56 is: 3,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318 : 7,978.68 = 2,396.56 : x
  2. Step 2: Convert to fraction form
    5,318/7,978.68 = 2,396.56/x
  3. Step 3: Cross multiply
    5,318x = 7,978.68 × 2,396.56
  4. Step 4: Simplify right side
    5,318x = 19,121,385.34
  5. Step 5: Solve for x
    x = 19,121,385.34/5,318
  6. Step 6: Final answer
    x = 3,595.60

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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.