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Finding the Fourth Proportional to 5,323.68, 7,978.46 and 2,824.35

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Solution

The fourth proportional to 5,323.68, 7,978.46 and 2,824.35 is: 4,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.68 : 7,978.46 = 2,824.35 : x
  2. Step 2: Convert to fraction form
    5,323.68/7,978.46 = 2,824.35/x
  3. Step 3: Cross multiply
    5,323.68x = 7,978.46 × 2,824.35
  4. Step 4: Simplify right side
    5,323.68x = 22,533,949.38
  5. Step 5: Solve for x
    x = 22,533,949.38/5,323.68
  6. Step 6: Final answer
    x = 4,232.78

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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.