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Finding the Fourth Proportional to 5,922.80, 8,173.86 and 3,405.74

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Solution

The fourth proportional to 5,922.80, 8,173.86 and 3,405.74 is: 4,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.80 : 8,173.86 = 3,405.74 : x
  2. Step 2: Convert to fraction form
    5,922.80/8,173.86 = 3,405.74/x
  3. Step 3: Cross multiply
    5,922.80x = 8,173.86 × 3,405.74
  4. Step 4: Simplify right side
    5,922.80x = 27,838,041.96
  5. Step 5: Solve for x
    x = 27,838,041.96/5,922.80
  6. Step 6: Final answer
    x = 4,700.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.