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Finding the Fourth Proportional to 2,616, 3,925.80 and 1,077

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Solution

The fourth proportional to 2,616, 3,925.80 and 1,077 is: 1,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616 : 3,925.80 = 1,077 : x
  2. Step 2: Convert to fraction form
    2,616/3,925.80 = 1,077/x
  3. Step 3: Cross multiply
    2,616x = 3,925.80 × 1,077
  4. Step 4: Simplify right side
    2,616x = 4,228,086.60
  5. Step 5: Solve for x
    x = 4,228,086.60/2,616
  6. Step 6: Final answer
    x = 1,616.24

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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.