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Finding the Fourth Proportional to 8,540.63, 11,786.88 and 5,182.67

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Solution

The fourth proportional to 8,540.63, 11,786.88 and 5,182.67 is: 7,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.63 : 11,786.88 = 5,182.67 : x
  2. Step 2: Convert to fraction form
    8,540.63/11,786.88 = 5,182.67/x
  3. Step 3: Cross multiply
    8,540.63x = 11,786.88 × 5,182.67
  4. Step 4: Simplify right side
    8,540.63x = 61,087,509.37
  5. Step 5: Solve for x
    x = 61,087,509.37/8,540.63
  6. Step 6: Final answer
    x = 7,152.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.