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Finding the Fourth Proportional to 10,914.80, 16,357.80 and 9,676.40

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Solution

The fourth proportional to 10,914.80, 16,357.80 and 9,676.40 is: 14,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.80 : 16,357.80 = 9,676.40 : x
  2. Step 2: Convert to fraction form
    10,914.80/16,357.80 = 9,676.40/x
  3. Step 3: Cross multiply
    10,914.80x = 16,357.80 × 9,676.40
  4. Step 4: Simplify right side
    10,914.80x = 158,284,615.92
  5. Step 5: Solve for x
    x = 158,284,615.92/10,914.80
  6. Step 6: Final answer
    x = 14,501.83

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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.