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Finding the Fourth Proportional to 14,148, 19,524.24 and 7,861.68

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Solution

The fourth proportional to 14,148, 19,524.24 and 7,861.68 is: 10,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148 : 19,524.24 = 7,861.68 : x
  2. Step 2: Convert to fraction form
    14,148/19,524.24 = 7,861.68/x
  3. Step 3: Cross multiply
    14,148x = 19,524.24 × 7,861.68
  4. Step 4: Simplify right side
    14,148x = 153,493,327.12
  5. Step 5: Solve for x
    x = 153,493,327.12/14,148
  6. Step 6: Final answer
    x = 10,849.12

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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.