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Finding the Fourth Proportional to 13,787, 20,654.28 and 7,868

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Solution

The fourth proportional to 13,787, 20,654.28 and 7,868 is: 11,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,787 : 20,654.28 = 7,868 : x
  2. Step 2: Convert to fraction form
    13,787/20,654.28 = 7,868/x
  3. Step 3: Cross multiply
    13,787x = 20,654.28 × 7,868
  4. Step 4: Simplify right side
    13,787x = 162,507,875.04
  5. Step 5: Solve for x
    x = 162,507,875.04/13,787
  6. Step 6: Final answer
    x = 11,787.04

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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.