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Finding the Fourth Proportional to 12,221.16, 16,878.96 and 8,258.64

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Solution

The fourth proportional to 12,221.16, 16,878.96 and 8,258.64 is: 11,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.16 : 16,878.96 = 8,258.64 : x
  2. Step 2: Convert to fraction form
    12,221.16/16,878.96 = 8,258.64/x
  3. Step 3: Cross multiply
    12,221.16x = 16,878.96 × 8,258.64
  4. Step 4: Simplify right side
    12,221.16x = 139,397,254.21
  5. Step 5: Solve for x
    x = 139,397,254.21/12,221.16
  6. Step 6: Final answer
    x = 11,406.22

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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.