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Finding the Fourth Proportional to 17,438, 26,168.52 and 8,204.72

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Solution

The fourth proportional to 17,438, 26,168.52 and 8,204.72 is: 12,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438 : 26,168.52 = 8,204.72 : x
  2. Step 2: Convert to fraction form
    17,438/26,168.52 = 8,204.72/x
  3. Step 3: Cross multiply
    17,438x = 26,168.52 × 8,204.72
  4. Step 4: Simplify right side
    17,438x = 214,705,379.41
  5. Step 5: Solve for x
    x = 214,705,379.41/17,438
  6. Step 6: Final answer
    x = 12,312.50

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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.