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Finding the Fourth Proportional to 20,871.64, 28,804.68 and 11,442

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Solution

The fourth proportional to 20,871.64, 28,804.68 and 11,442 is: 15,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.64 : 28,804.68 = 11,442 : x
  2. Step 2: Convert to fraction form
    20,871.64/28,804.68 = 11,442/x
  3. Step 3: Cross multiply
    20,871.64x = 28,804.68 × 11,442
  4. Step 4: Simplify right side
    20,871.64x = 329,583,148.56
  5. Step 5: Solve for x
    x = 329,583,148.56/20,871.64
  6. Step 6: Final answer
    x = 15,790.96

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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.