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Finding the Fourth Proportional to 13,871.84, 20,809.52 and 5,437.28

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Solution

The fourth proportional to 13,871.84, 20,809.52 and 5,437.28 is: 8,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.84 : 20,809.52 = 5,437.28 : x
  2. Step 2: Convert to fraction form
    13,871.84/20,809.52 = 5,437.28/x
  3. Step 3: Cross multiply
    13,871.84x = 20,809.52 × 5,437.28
  4. Step 4: Simplify right side
    13,871.84x = 113,147,186.91
  5. Step 5: Solve for x
    x = 113,147,186.91/13,871.84
  6. Step 6: Final answer
    x = 8,156.61

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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.