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Finding the Fourth Proportional to 10,432, 14,396.16 and 5,716.46

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Solution

The fourth proportional to 10,432, 14,396.16 and 5,716.46 is: 7,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432 : 14,396.16 = 5,716.46 : x
  2. Step 2: Convert to fraction form
    10,432/14,396.16 = 5,716.46/x
  3. Step 3: Cross multiply
    10,432x = 14,396.16 × 5,716.46
  4. Step 4: Simplify right side
    10,432x = 82,295,072.79
  5. Step 5: Solve for x
    x = 82,295,072.79/10,432
  6. Step 6: Final answer
    x = 7,888.71

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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.