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Finding the Fourth Proportional to 5,436.42, 8,155.63 and 2,316.42

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Solution

The fourth proportional to 5,436.42, 8,155.63 and 2,316.42 is: 3,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.42 : 8,155.63 = 2,316.42 : x
  2. Step 2: Convert to fraction form
    5,436.42/8,155.63 = 2,316.42/x
  3. Step 3: Cross multiply
    5,436.42x = 8,155.63 × 2,316.42
  4. Step 4: Simplify right side
    5,436.42x = 18,891,864.44
  5. Step 5: Solve for x
    x = 18,891,864.44/5,436.42
  6. Step 6: Final answer
    x = 3,475.06

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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.