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Finding the Fourth Proportional to 14,718.62, 20,311.62 and 8,345

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Solution

The fourth proportional to 14,718.62, 20,311.62 and 8,345 is: 11,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,718.62 : 20,311.62 = 8,345 : x
  2. Step 2: Convert to fraction form
    14,718.62/20,311.62 = 8,345/x
  3. Step 3: Cross multiply
    14,718.62x = 20,311.62 × 8,345
  4. Step 4: Simplify right side
    14,718.62x = 169,500,468.90
  5. Step 5: Solve for x
    x = 169,500,468.90/14,718.62
  6. Step 6: Final answer
    x = 11,516.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.