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Finding the Fourth Proportional to 13,607.49, 18,777.28 and 7,638

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Solution

The fourth proportional to 13,607.49, 18,777.28 and 7,638 is: 10,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.49 : 18,777.28 = 7,638 : x
  2. Step 2: Convert to fraction form
    13,607.49/18,777.28 = 7,638/x
  3. Step 3: Cross multiply
    13,607.49x = 18,777.28 × 7,638
  4. Step 4: Simplify right side
    13,607.49x = 143,420,864.64
  5. Step 5: Solve for x
    x = 143,420,864.64/13,607.49
  6. Step 6: Final answer
    x = 10,539.85

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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.