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Finding the Fourth Proportional to 19,545, 29,317.50 and 8,601

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Solution

The fourth proportional to 19,545, 29,317.50 and 8,601 is: 12,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,545 : 29,317.50 = 8,601 : x
  2. Step 2: Convert to fraction form
    19,545/29,317.50 = 8,601/x
  3. Step 3: Cross multiply
    19,545x = 29,317.50 × 8,601
  4. Step 4: Simplify right side
    19,545x = 252,159,817.50
  5. Step 5: Solve for x
    x = 252,159,817.50/19,545
  6. Step 6: Final answer
    x = 12,901.50

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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.