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Finding the Fourth Proportional to 5,321.86, 7,975.78 and 2,359.28

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Solution

The fourth proportional to 5,321.86, 7,975.78 and 2,359.28 is: 3,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.86 : 7,975.78 = 2,359.28 : x
  2. Step 2: Convert to fraction form
    5,321.86/7,975.78 = 2,359.28/x
  3. Step 3: Cross multiply
    5,321.86x = 7,975.78 × 2,359.28
  4. Step 4: Simplify right side
    5,321.86x = 18,817,098.24
  5. Step 5: Solve for x
    x = 18,817,098.24/5,321.86
  6. Step 6: Final answer
    x = 3,535.81

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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.