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Finding the Fourth Proportional to 14,471.54, 19,969.58 and 8,420.84

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Solution

The fourth proportional to 14,471.54, 19,969.58 and 8,420.84 is: 11,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.54 : 19,969.58 = 8,420.84 : x
  2. Step 2: Convert to fraction form
    14,471.54/19,969.58 = 8,420.84/x
  3. Step 3: Cross multiply
    14,471.54x = 19,969.58 × 8,420.84
  4. Step 4: Simplify right side
    14,471.54x = 168,160,638.05
  5. Step 5: Solve for x
    x = 168,160,638.05/14,471.54
  6. Step 6: Final answer
    x = 11,620.09

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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.