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Finding the Fourth Proportional to 13,446, 18,557.10 and 7,857

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Solution

The fourth proportional to 13,446, 18,557.10 and 7,857 is: 10,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 18,557.10 = 7,857 : x
  2. Step 2: Convert to fraction form
    13,446/18,557.10 = 7,857/x
  3. Step 3: Cross multiply
    13,446x = 18,557.10 × 7,857
  4. Step 4: Simplify right side
    13,446x = 145,803,134.70
  5. Step 5: Solve for x
    x = 145,803,134.70/13,446
  6. Step 6: Final answer
    x = 10,843.61

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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.