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Finding the Fourth Proportional to 14,834.47, 20,471.70 and 8,461.39

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Solution

The fourth proportional to 14,834.47, 20,471.70 and 8,461.39 is: 11,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.47 : 20,471.70 = 8,461.39 : x
  2. Step 2: Convert to fraction form
    14,834.47/20,471.70 = 8,461.39/x
  3. Step 3: Cross multiply
    14,834.47x = 20,471.70 × 8,461.39
  4. Step 4: Simplify right side
    14,834.47x = 173,218,935.30
  5. Step 5: Solve for x
    x = 173,218,935.30/14,834.47
  6. Step 6: Final answer
    x = 11,676.79

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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.