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Finding the Fourth Proportional to 20,871.44, 28,803.90 and 11,440

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Solution

The fourth proportional to 20,871.44, 28,803.90 and 11,440 is: 15,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.44 : 28,803.90 = 11,440 : x
  2. Step 2: Convert to fraction form
    20,871.44/28,803.90 = 11,440/x
  3. Step 3: Cross multiply
    20,871.44x = 28,803.90 × 11,440
  4. Step 4: Simplify right side
    20,871.44x = 329,516,616
  5. Step 5: Solve for x
    x = 329,516,616/20,871.44
  6. Step 6: Final answer
    x = 15,787.92

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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.