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Finding the Fourth Proportional to 11,571.92, 17,346.88 and 10,511.20

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Solution

The fourth proportional to 11,571.92, 17,346.88 and 10,511.20 is: 15,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.92 : 17,346.88 = 10,511.20 : x
  2. Step 2: Convert to fraction form
    11,571.92/17,346.88 = 10,511.20/x
  3. Step 3: Cross multiply
    11,571.92x = 17,346.88 × 10,511.20
  4. Step 4: Simplify right side
    11,571.92x = 182,336,525.06
  5. Step 5: Solve for x
    x = 182,336,525.06/11,571.92
  6. Step 6: Final answer
    x = 15,756.81

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1.5x scale

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.