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Finding the Fourth Proportional to 14,516.92, 21,772.29 and 8,509.40

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Solution

The fourth proportional to 14,516.92, 21,772.29 and 8,509.40 is: 12,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.92 : 21,772.29 = 8,509.40 : x
  2. Step 2: Convert to fraction form
    14,516.92/21,772.29 = 8,509.40/x
  3. Step 3: Cross multiply
    14,516.92x = 21,772.29 × 8,509.40
  4. Step 4: Simplify right side
    14,516.92x = 185,269,251.69
  5. Step 5: Solve for x
    x = 185,269,251.69/14,516.92
  6. Step 6: Final answer
    x = 12,762.30

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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.