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Finding the Fourth Proportional to 10,150, 15,226.96 and 3,576.40

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Solution

The fourth proportional to 10,150, 15,226.96 and 3,576.40 is: 5,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150 : 15,226.96 = 3,576.40 : x
  2. Step 2: Convert to fraction form
    10,150/15,226.96 = 3,576.40/x
  3. Step 3: Cross multiply
    10,150x = 15,226.96 × 3,576.40
  4. Step 4: Simplify right side
    10,150x = 54,457,699.74
  5. Step 5: Solve for x
    x = 54,457,699.74/10,150
  6. Step 6: Final answer
    x = 5,365.29

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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.