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Finding the Fourth Proportional to 13,898.71, 20,859 and 8,358.31

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Solution

The fourth proportional to 13,898.71, 20,859 and 8,358.31 is: 12,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.71 : 20,859 = 8,358.31 : x
  2. Step 2: Convert to fraction form
    13,898.71/20,859 = 8,358.31/x
  3. Step 3: Cross multiply
    13,898.71x = 20,859 × 8,358.31
  4. Step 4: Simplify right side
    13,898.71x = 174,345,988.29
  5. Step 5: Solve for x
    x = 174,345,988.29/13,898.71
  6. Step 6: Final answer
    x = 12,544.04

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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.