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Finding the Fourth Proportional to 9,871.44, 14,809.88 and 5,491.96

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Solution

The fourth proportional to 9,871.44, 14,809.88 and 5,491.96 is: 8,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.44 : 14,809.88 = 5,491.96 : x
  2. Step 2: Convert to fraction form
    9,871.44/14,809.88 = 5,491.96/x
  3. Step 3: Cross multiply
    9,871.44x = 14,809.88 × 5,491.96
  4. Step 4: Simplify right side
    9,871.44x = 81,335,268.56
  5. Step 5: Solve for x
    x = 81,335,268.56/9,871.44
  6. Step 6: Final answer
    x = 8,239.45

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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.