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Finding the Fourth Proportional to 10,109.31, 15,164.10 and 5,433.45

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Solution

The fourth proportional to 10,109.31, 15,164.10 and 5,433.45 is: 8,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.31 : 15,164.10 = 5,433.45 : x
  2. Step 2: Convert to fraction form
    10,109.31/15,164.10 = 5,433.45/x
  3. Step 3: Cross multiply
    10,109.31x = 15,164.10 × 5,433.45
  4. Step 4: Simplify right side
    10,109.31x = 82,393,379.15
  5. Step 5: Solve for x
    x = 82,393,379.15/10,109.31
  6. Step 6: Final answer
    x = 8,150.25

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