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Finding the Fourth Proportional to 14,249.72, 21,355.94 and 7,661.72

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Solution

The fourth proportional to 14,249.72, 21,355.94 and 7,661.72 is: 11,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.72 : 21,355.94 = 7,661.72 : x
  2. Step 2: Convert to fraction form
    14,249.72/21,355.94 = 7,661.72/x
  3. Step 3: Cross multiply
    14,249.72x = 21,355.94 × 7,661.72
  4. Step 4: Simplify right side
    14,249.72x = 163,623,087.53
  5. Step 5: Solve for x
    x = 163,623,087.53/14,249.72
  6. Step 6: Final answer
    x = 11,482.55

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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.