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Finding the Fourth Proportional to 14,253, 19,669.56 and 7,965.39

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Solution

The fourth proportional to 14,253, 19,669.56 and 7,965.39 is: 10,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253 : 19,669.56 = 7,965.39 : x
  2. Step 2: Convert to fraction form
    14,253/19,669.56 = 7,965.39/x
  3. Step 3: Cross multiply
    14,253x = 19,669.56 × 7,965.39
  4. Step 4: Simplify right side
    14,253x = 156,675,716.53
  5. Step 5: Solve for x
    x = 156,675,716.53/14,253
  6. Step 6: Final answer
    x = 10,992.47

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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.