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Finding the Fourth Proportional to 5,155.84, 7,734.30 and 2,558.08

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Solution

The fourth proportional to 5,155.84, 7,734.30 and 2,558.08 is: 3,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.84 : 7,734.30 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    5,155.84/7,734.30 = 2,558.08/x
  3. Step 3: Cross multiply
    5,155.84x = 7,734.30 × 2,558.08
  4. Step 4: Simplify right side
    5,155.84x = 19,784,958.14
  5. Step 5: Solve for x
    x = 19,784,958.14/5,155.84
  6. Step 6: Final answer
    x = 3,837.39

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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.