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Finding the Fourth Proportional to 3,762.86, 5,191.90 and 2,271.44

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Solution

The fourth proportional to 3,762.86, 5,191.90 and 2,271.44 is: 3,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.86 : 5,191.90 = 2,271.44 : x
  2. Step 2: Convert to fraction form
    3,762.86/5,191.90 = 2,271.44/x
  3. Step 3: Cross multiply
    3,762.86x = 5,191.90 × 2,271.44
  4. Step 4: Simplify right side
    3,762.86x = 11,793,096.64
  5. Step 5: Solve for x
    x = 11,793,096.64/3,762.86
  6. Step 6: Final answer
    x = 3,134.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.