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Finding the Fourth Proportional to 2,658.77, 3,986.82 and 1,548.55

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Solution

The fourth proportional to 2,658.77, 3,986.82 and 1,548.55 is: 2,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.77 : 3,986.82 = 1,548.55 : x
  2. Step 2: Convert to fraction form
    2,658.77/3,986.82 = 1,548.55/x
  3. Step 3: Cross multiply
    2,658.77x = 3,986.82 × 1,548.55
  4. Step 4: Simplify right side
    2,658.77x = 6,173,795.09
  5. Step 5: Solve for x
    x = 6,173,795.09/2,658.77
  6. Step 6: Final answer
    x = 2,322.05

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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.