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Finding the Fourth Proportional to 16,412.12, 22,648.81 and 9,338.54

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Solution

The fourth proportional to 16,412.12, 22,648.81 and 9,338.54 is: 12,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.12 : 22,648.81 = 9,338.54 : x
  2. Step 2: Convert to fraction form
    16,412.12/22,648.81 = 9,338.54/x
  3. Step 3: Cross multiply
    16,412.12x = 22,648.81 × 9,338.54
  4. Step 4: Simplify right side
    16,412.12x = 211,506,704.89
  5. Step 5: Solve for x
    x = 211,506,704.89/16,412.12
  6. Step 6: Final answer
    x = 12,887.23

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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.