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Finding the Fourth Proportional to 13,644.21, 18,823.68 and 7,674.51

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Solution

The fourth proportional to 13,644.21, 18,823.68 and 7,674.51 is: 10,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.21 : 18,823.68 = 7,674.51 : x
  2. Step 2: Convert to fraction form
    13,644.21/18,823.68 = 7,674.51/x
  3. Step 3: Cross multiply
    13,644.21x = 18,823.68 × 7,674.51
  4. Step 4: Simplify right side
    13,644.21x = 144,462,520.40
  5. Step 5: Solve for x
    x = 144,462,520.40/13,644.21
  6. Step 6: Final answer
    x = 10,587.83

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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.