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Finding the Fourth Proportional to 8,928.72, 13,406.16 and 8,771.24

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Solution

The fourth proportional to 8,928.72, 13,406.16 and 8,771.24 is: 13,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.72 : 13,406.16 = 8,771.24 : x
  2. Step 2: Convert to fraction form
    8,928.72/13,406.16 = 8,771.24/x
  3. Step 3: Cross multiply
    8,928.72x = 13,406.16 × 8,771.24
  4. Step 4: Simplify right side
    8,928.72x = 117,588,646.84
  5. Step 5: Solve for x
    x = 117,588,646.84/8,928.72
  6. Step 6: Final answer
    x = 13,169.71

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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.