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Finding the Fourth Proportional to 12,536.80, 18,805.76 and 6,985.94

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Solution

The fourth proportional to 12,536.80, 18,805.76 and 6,985.94 is: 10,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.80 : 18,805.76 = 6,985.94 : x
  2. Step 2: Convert to fraction form
    12,536.80/18,805.76 = 6,985.94/x
  3. Step 3: Cross multiply
    12,536.80x = 18,805.76 × 6,985.94
  4. Step 4: Simplify right side
    12,536.80x = 131,375,911.01
  5. Step 5: Solve for x
    x = 131,375,911.01/12,536.80
  6. Step 6: Final answer
    x = 10,479.22

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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.