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Finding the Fourth Proportional to 14,861, 20,508.18 and 8,237

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Solution

The fourth proportional to 14,861, 20,508.18 and 8,237 is: 11,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861 : 20,508.18 = 8,237 : x
  2. Step 2: Convert to fraction form
    14,861/20,508.18 = 8,237/x
  3. Step 3: Cross multiply
    14,861x = 20,508.18 × 8,237
  4. Step 4: Simplify right side
    14,861x = 168,925,878.66
  5. Step 5: Solve for x
    x = 168,925,878.66/14,861
  6. Step 6: Final answer
    x = 11,367.06

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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.