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Finding the Fourth Proportional to 16,516.88, 24,758 and 5,420.72

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Solution

The fourth proportional to 16,516.88, 24,758 and 5,420.72 is: 8,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.88 : 24,758 = 5,420.72 : x
  2. Step 2: Convert to fraction form
    16,516.88/24,758 = 5,420.72/x
  3. Step 3: Cross multiply
    16,516.88x = 24,758 × 5,420.72
  4. Step 4: Simplify right side
    16,516.88x = 134,206,185.76
  5. Step 5: Solve for x
    x = 134,206,185.76/16,516.88
  6. Step 6: Final answer
    x = 8,125.40

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Why These Related Problems?

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