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Finding the Fourth Proportional to 10,845, 14,966.10 and 5,877

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Solution

The fourth proportional to 10,845, 14,966.10 and 5,877 is: 8,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845 : 14,966.10 = 5,877 : x
  2. Step 2: Convert to fraction form
    10,845/14,966.10 = 5,877/x
  3. Step 3: Cross multiply
    10,845x = 14,966.10 × 5,877
  4. Step 4: Simplify right side
    10,845x = 87,955,769.70
  5. Step 5: Solve for x
    x = 87,955,769.70/10,845
  6. Step 6: Final answer
    x = 8,110.26

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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.