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Finding the Fourth Proportional to 16,404.16, 22,634.76 and 9,690.88

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Solution

The fourth proportional to 16,404.16, 22,634.76 and 9,690.88 is: 13,371.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.16 : 22,634.76 = 9,690.88 : x
  2. Step 2: Convert to fraction form
    16,404.16/22,634.76 = 9,690.88/x
  3. Step 3: Cross multiply
    16,404.16x = 22,634.76 × 9,690.88
  4. Step 4: Simplify right side
    16,404.16x = 219,350,742.99
  5. Step 5: Solve for x
    x = 219,350,742.99/16,404.16
  6. Step 6: Final answer
    x = 13,371.65

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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.