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Finding the Fourth Proportional to 10,807.89, 16,202.16 and 4,238.66

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Solution

The fourth proportional to 10,807.89, 16,202.16 and 4,238.66 is: 6,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.89 : 16,202.16 = 4,238.66 : x
  2. Step 2: Convert to fraction form
    10,807.89/16,202.16 = 4,238.66/x
  3. Step 3: Cross multiply
    10,807.89x = 16,202.16 × 4,238.66
  4. Step 4: Simplify right side
    10,807.89x = 68,675,366.49
  5. Step 5: Solve for x
    x = 68,675,366.49/10,807.89
  6. Step 6: Final answer
    x = 6,354.19

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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.