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Finding the Fourth Proportional to 5,219.46, 7,829.22 and 1,323.86

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Solution

The fourth proportional to 5,219.46, 7,829.22 and 1,323.86 is: 1,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.46 : 7,829.22 = 1,323.86 : x
  2. Step 2: Convert to fraction form
    5,219.46/7,829.22 = 1,323.86/x
  3. Step 3: Cross multiply
    5,219.46x = 7,829.22 × 1,323.86
  4. Step 4: Simplify right side
    5,219.46x = 10,364,752.04
  5. Step 5: Solve for x
    x = 10,364,752.04/5,219.46
  6. Step 6: Final answer
    x = 1,985.79

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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.