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Finding the Fourth Proportional to 2,191, 3,023.56 and 1,306.84

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Solution

The fourth proportional to 2,191, 3,023.56 and 1,306.84 is: 1,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191 : 3,023.56 = 1,306.84 : x
  2. Step 2: Convert to fraction form
    2,191/3,023.56 = 1,306.84/x
  3. Step 3: Cross multiply
    2,191x = 3,023.56 × 1,306.84
  4. Step 4: Simplify right side
    2,191x = 3,951,309.15
  5. Step 5: Solve for x
    x = 3,951,309.15/2,191
  6. Step 6: Final answer
    x = 1,803.43

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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.