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Finding the Fourth Proportional to 14,123.22, 19,476.54 and 8,457.12

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Solution

The fourth proportional to 14,123.22, 19,476.54 and 8,457.12 is: 11,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.22 : 19,476.54 = 8,457.12 : x
  2. Step 2: Convert to fraction form
    14,123.22/19,476.54 = 8,457.12/x
  3. Step 3: Cross multiply
    14,123.22x = 19,476.54 × 8,457.12
  4. Step 4: Simplify right side
    14,123.22x = 164,715,435.96
  5. Step 5: Solve for x
    x = 164,715,435.96/14,123.22
  6. Step 6: Final answer
    x = 11,662.74

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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.