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Finding the Fourth Proportional to 10,610, 14,650.44 and 9,198.80

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Solution

The fourth proportional to 10,610, 14,650.44 and 9,198.80 is: 12,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610 : 14,650.44 = 9,198.80 : x
  2. Step 2: Convert to fraction form
    10,610/14,650.44 = 9,198.80/x
  3. Step 3: Cross multiply
    10,610x = 14,650.44 × 9,198.80
  4. Step 4: Simplify right side
    10,610x = 134,766,467.47
  5. Step 5: Solve for x
    x = 134,766,467.47/10,610
  6. Step 6: Final answer
    x = 12,701.83

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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.