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Finding the Fourth Proportional to 10,065, 13,889.70 and 5,872.44

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Solution

The fourth proportional to 10,065, 13,889.70 and 5,872.44 is: 8,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065 : 13,889.70 = 5,872.44 : x
  2. Step 2: Convert to fraction form
    10,065/13,889.70 = 5,872.44/x
  3. Step 3: Cross multiply
    10,065x = 13,889.70 × 5,872.44
  4. Step 4: Simplify right side
    10,065x = 81,566,429.87
  5. Step 5: Solve for x
    x = 81,566,429.87/10,065
  6. Step 6: Final answer
    x = 8,103.97

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1.5x scale

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.