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Finding the Fourth Proportional to 16,449.12, 24,681.78 and 7,682.76

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Solution

The fourth proportional to 16,449.12, 24,681.78 and 7,682.76 is: 11,527.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.12 : 24,681.78 = 7,682.76 : x
  2. Step 2: Convert to fraction form
    16,449.12/24,681.78 = 7,682.76/x
  3. Step 3: Cross multiply
    16,449.12x = 24,681.78 × 7,682.76
  4. Step 4: Simplify right side
    16,449.12x = 189,624,192.11
  5. Step 5: Solve for x
    x = 189,624,192.11/16,449.12
  6. Step 6: Final answer
    x = 11,527.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.