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Finding the Fourth Proportional to 6,374.34, 9,560.88 and 1,991.66

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Solution

The fourth proportional to 6,374.34, 9,560.88 and 1,991.66 is: 2,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.34 : 9,560.88 = 1,991.66 : x
  2. Step 2: Convert to fraction form
    6,374.34/9,560.88 = 1,991.66/x
  3. Step 3: Cross multiply
    6,374.34x = 9,560.88 × 1,991.66
  4. Step 4: Simplify right side
    6,374.34x = 19,041,974.46
  5. Step 5: Solve for x
    x = 19,041,974.46/6,374.34
  6. Step 6: Final answer
    x = 2,987.29

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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.