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Finding the Fourth Proportional to 3,191.76, 4,783.47 and 1,340.43

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Solution

The fourth proportional to 3,191.76, 4,783.47 and 1,340.43 is: 2,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.76 : 4,783.47 = 1,340.43 : x
  2. Step 2: Convert to fraction form
    3,191.76/4,783.47 = 1,340.43/x
  3. Step 3: Cross multiply
    3,191.76x = 4,783.47 × 1,340.43
  4. Step 4: Simplify right side
    3,191.76x = 6,411,906.69
  5. Step 5: Solve for x
    x = 6,411,906.69/3,191.76
  6. Step 6: Final answer
    x = 2,008.89

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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.