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Finding the Fourth Proportional to 9,871.44, 14,809.73 and 2,945.94

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Solution

The fourth proportional to 9,871.44, 14,809.73 and 2,945.94 is: 4,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.44 : 14,809.73 = 2,945.94 : x
  2. Step 2: Convert to fraction form
    9,871.44/14,809.73 = 2,945.94/x
  3. Step 3: Cross multiply
    9,871.44x = 14,809.73 × 2,945.94
  4. Step 4: Simplify right side
    9,871.44x = 43,628,561.27
  5. Step 5: Solve for x
    x = 43,628,561.27/9,871.44
  6. Step 6: Final answer
    x = 4,419.68

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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.