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Finding the Fourth Proportional to 3,846.60, 5,771.70 and 1,655.91

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Solution

The fourth proportional to 3,846.60, 5,771.70 and 1,655.91 is: 2,484.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.60 : 5,771.70 = 1,655.91 : x
  2. Step 2: Convert to fraction form
    3,846.60/5,771.70 = 1,655.91/x
  3. Step 3: Cross multiply
    3,846.60x = 5,771.70 × 1,655.91
  4. Step 4: Simplify right side
    3,846.60x = 9,557,415.75
  5. Step 5: Solve for x
    x = 9,557,415.75/3,846.60
  6. Step 6: Final answer
    x = 2,484.64

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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.