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Finding the Fourth Proportional to 14,249, 19,663.50 and 7,876

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Solution

The fourth proportional to 14,249, 19,663.50 and 7,876 is: 10,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249 : 19,663.50 = 7,876 : x
  2. Step 2: Convert to fraction form
    14,249/19,663.50 = 7,876/x
  3. Step 3: Cross multiply
    14,249x = 19,663.50 × 7,876
  4. Step 4: Simplify right side
    14,249x = 154,869,726
  5. Step 5: Solve for x
    x = 154,869,726/14,249
  6. Step 6: Final answer
    x = 10,868.81

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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.