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Finding the Fourth Proportional to 8,661.76, 12,984.72 and 3,728.32

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Solution

The fourth proportional to 8,661.76, 12,984.72 and 3,728.32 is: 5,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.76 : 12,984.72 = 3,728.32 : x
  2. Step 2: Convert to fraction form
    8,661.76/12,984.72 = 3,728.32/x
  3. Step 3: Cross multiply
    8,661.76x = 12,984.72 × 3,728.32
  4. Step 4: Simplify right side
    8,661.76x = 48,411,191.27
  5. Step 5: Solve for x
    x = 48,411,191.27/8,661.76
  6. Step 6: Final answer
    x = 5,589.07

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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.