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Finding the Fourth Proportional to 9,871.43, 14,809.49 and 2,945.75

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Solution

The fourth proportional to 9,871.43, 14,809.49 and 2,945.75 is: 4,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.43 : 14,809.49 = 2,945.75 : x
  2. Step 2: Convert to fraction form
    9,871.43/14,809.49 = 2,945.75/x
  3. Step 3: Cross multiply
    9,871.43x = 14,809.49 × 2,945.75
  4. Step 4: Simplify right side
    9,871.43x = 43,625,040.44
  5. Step 5: Solve for x
    x = 43,625,040.44/9,871.43
  6. Step 6: Final answer
    x = 4,419.32

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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.