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Finding the Fourth Proportional to 10,800.86, 16,160.87 and 7,688.03

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Solution

The fourth proportional to 10,800.86, 16,160.87 and 7,688.03 is: 11,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.86 : 16,160.87 = 7,688.03 : x
  2. Step 2: Convert to fraction form
    10,800.86/16,160.87 = 7,688.03/x
  3. Step 3: Cross multiply
    10,800.86x = 16,160.87 × 7,688.03
  4. Step 4: Simplify right side
    10,800.86x = 124,245,134.14
  5. Step 5: Solve for x
    x = 124,245,134.14/10,800.86
  6. Step 6: Final answer
    x = 11,503.27

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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.