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Finding the Fourth Proportional to 5,239.64, 7,859.46 and 1,775.96

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Solution

The fourth proportional to 5,239.64, 7,859.46 and 1,775.96 is: 2,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.64 : 7,859.46 = 1,775.96 : x
  2. Step 2: Convert to fraction form
    5,239.64/7,859.46 = 1,775.96/x
  3. Step 3: Cross multiply
    5,239.64x = 7,859.46 × 1,775.96
  4. Step 4: Simplify right side
    5,239.64x = 13,958,086.58
  5. Step 5: Solve for x
    x = 13,958,086.58/5,239.64
  6. Step 6: Final answer
    x = 2,663.94

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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.