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Finding the Fourth Proportional to 14,654.16, 20,221.79 and 9,348.41

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Solution

The fourth proportional to 14,654.16, 20,221.79 and 9,348.41 is: 12,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,654.16 : 20,221.79 = 9,348.41 : x
  2. Step 2: Convert to fraction form
    14,654.16/20,221.79 = 9,348.41/x
  3. Step 3: Cross multiply
    14,654.16x = 20,221.79 × 9,348.41
  4. Step 4: Simplify right side
    14,654.16x = 189,041,436.00
  5. Step 5: Solve for x
    x = 189,041,436.00/14,654.16
  6. Step 6: Final answer
    x = 12,900.19

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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.