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Finding the Fourth Proportional to 14,148, 19,524.78 and 7,860.24

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Solution

The fourth proportional to 14,148, 19,524.78 and 7,860.24 is: 10,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 19,524.78 = 7,860.24 : x
  2. Step 2: Convert to fraction form
    14,148/19,524.78 = 7,860.24/x
  3. Step 3: Cross multiply
    14,148x = 19,524.78 × 7,860.24
  4. Step 4: Simplify right side
    14,148x = 153,469,456.75
  5. Step 5: Solve for x
    x = 153,469,456.75/14,148
  6. Step 6: Final answer
    x = 10,847.43

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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.