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Finding the Fourth Proportional to 6,374.34, 9,561.18 and 1,991.48

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Solution

The fourth proportional to 6,374.34, 9,561.18 and 1,991.48 is: 2,987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.34 : 9,561.18 = 1,991.48 : x
  2. Step 2: Convert to fraction form
    6,374.34/9,561.18 = 1,991.48/x
  3. Step 3: Cross multiply
    6,374.34x = 9,561.18 × 1,991.48
  4. Step 4: Simplify right side
    6,374.34x = 19,040,898.75
  5. Step 5: Solve for x
    x = 19,040,898.75/6,374.34
  6. Step 6: Final answer
    x = 2,987.12

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1.5x scale

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.