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Finding the Fourth Proportional to 10,399, 14,350.62 and 5,683.29

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Solution

The fourth proportional to 10,399, 14,350.62 and 5,683.29 is: 7,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399 : 14,350.62 = 5,683.29 : x
  2. Step 2: Convert to fraction form
    10,399/14,350.62 = 5,683.29/x
  3. Step 3: Cross multiply
    10,399x = 14,350.62 × 5,683.29
  4. Step 4: Simplify right side
    10,399x = 81,558,735.14
  5. Step 5: Solve for x
    x = 81,558,735.14/10,399
  6. Step 6: Final answer
    x = 7,842.94

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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.