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Finding the Fourth Proportional to 11,210.64, 16,797.36 and 7,917

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Solution

The fourth proportional to 11,210.64, 16,797.36 and 7,917 is: 11,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.64 : 16,797.36 = 7,917 : x
  2. Step 2: Convert to fraction form
    11,210.64/16,797.36 = 7,917/x
  3. Step 3: Cross multiply
    11,210.64x = 16,797.36 × 7,917
  4. Step 4: Simplify right side
    11,210.64x = 132,984,699.12
  5. Step 5: Solve for x
    x = 132,984,699.12/11,210.64
  6. Step 6: Final answer
    x = 11,862.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.