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Finding the Fourth Proportional to 9,871.40, 13,621.94 and 5,892.48

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Solution

The fourth proportional to 9,871.40, 13,621.94 and 5,892.48 is: 8,131.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.40 : 13,621.94 = 5,892.48 : x
  2. Step 2: Convert to fraction form
    9,871.40/13,621.94 = 5,892.48/x
  3. Step 3: Cross multiply
    9,871.40x = 13,621.94 × 5,892.48
  4. Step 4: Simplify right side
    9,871.40x = 80,267,009.01
  5. Step 5: Solve for x
    x = 80,267,009.01/9,871.40
  6. Step 6: Final answer
    x = 8,131.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.