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Finding the Fourth Proportional to 8,516.58, 11,747.60 and 4,978.50

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Solution

The fourth proportional to 8,516.58, 11,747.60 and 4,978.50 is: 6,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.58 : 11,747.60 = 4,978.50 : x
  2. Step 2: Convert to fraction form
    8,516.58/11,747.60 = 4,978.50/x
  3. Step 3: Cross multiply
    8,516.58x = 11,747.60 × 4,978.50
  4. Step 4: Simplify right side
    8,516.58x = 58,485,426.60
  5. Step 5: Solve for x
    x = 58,485,426.60/8,516.58
  6. Step 6: Final answer
    x = 6,867.24

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Why These Related Problems?

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