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Finding the Fourth Proportional to 10,683.90, 16,023.42 and 5,133.78

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Solution

The fourth proportional to 10,683.90, 16,023.42 and 5,133.78 is: 7,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.90 : 16,023.42 = 5,133.78 : x
  2. Step 2: Convert to fraction form
    10,683.90/16,023.42 = 5,133.78/x
  3. Step 3: Cross multiply
    10,683.90x = 16,023.42 × 5,133.78
  4. Step 4: Simplify right side
    10,683.90x = 82,260,713.13
  5. Step 5: Solve for x
    x = 82,260,713.13/10,683.90
  6. Step 6: Final answer
    x = 7,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.