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Finding the Fourth Proportional to 16,381.58, 22,603.84 and 9,305.42

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Solution

The fourth proportional to 16,381.58, 22,603.84 and 9,305.42 is: 12,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.58 : 22,603.84 = 9,305.42 : x
  2. Step 2: Convert to fraction form
    16,381.58/22,603.84 = 9,305.42/x
  3. Step 3: Cross multiply
    16,381.58x = 22,603.84 × 9,305.42
  4. Step 4: Simplify right side
    16,381.58x = 210,338,224.81
  5. Step 5: Solve for x
    x = 210,338,224.81/16,381.58
  6. Step 6: Final answer
    x = 12,839.92

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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.