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Finding the Fourth Proportional to 8,451.12, 11,661.76 and 4,914.28

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Solution

The fourth proportional to 8,451.12, 11,661.76 and 4,914.28 is: 6,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.12 : 11,661.76 = 4,914.28 : x
  2. Step 2: Convert to fraction form
    8,451.12/11,661.76 = 4,914.28/x
  3. Step 3: Cross multiply
    8,451.12x = 11,661.76 × 4,914.28
  4. Step 4: Simplify right side
    8,451.12x = 57,309,153.93
  5. Step 5: Solve for x
    x = 57,309,153.93/8,451.12
  6. Step 6: Final answer
    x = 6,781.25

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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.