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Finding the Fourth Proportional to 5,657.42, 8,465.34 and 3,428.30

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Solution

The fourth proportional to 5,657.42, 8,465.34 and 3,428.30 is: 5,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.42 : 8,465.34 = 3,428.30 : x
  2. Step 2: Convert to fraction form
    5,657.42/8,465.34 = 3,428.30/x
  3. Step 3: Cross multiply
    5,657.42x = 8,465.34 × 3,428.30
  4. Step 4: Simplify right side
    5,657.42x = 29,021,725.12
  5. Step 5: Solve for x
    x = 29,021,725.12/5,657.42
  6. Step 6: Final answer
    x = 5,129.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.