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Finding the Fourth Proportional to 2,968.80, 4,455.90 and 2,558.40

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Solution

The fourth proportional to 2,968.80, 4,455.90 and 2,558.40 is: 3,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.80 : 4,455.90 = 2,558.40 : x
  2. Step 2: Convert to fraction form
    2,968.80/4,455.90 = 2,558.40/x
  3. Step 3: Cross multiply
    2,968.80x = 4,455.90 × 2,558.40
  4. Step 4: Simplify right side
    2,968.80x = 11,399,974.56
  5. Step 5: Solve for x
    x = 11,399,974.56/2,968.80
  6. Step 6: Final answer
    x = 3,839.93

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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.