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Finding the Fourth Proportional to 10,666.54, 15,967 and 6,960.80

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Solution

The fourth proportional to 10,666.54, 15,967 and 6,960.80 is: 10,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.54 : 15,967 = 6,960.80 : x
  2. Step 2: Convert to fraction form
    10,666.54/15,967 = 6,960.80/x
  3. Step 3: Cross multiply
    10,666.54x = 15,967 × 6,960.80
  4. Step 4: Simplify right side
    10,666.54x = 111,143,093.60
  5. Step 5: Solve for x
    x = 111,143,093.60/10,666.54
  6. Step 6: Final answer
    x = 10,419.79

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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.