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Finding the Fourth Proportional to 12,198.73, 16,828.07 and 7,714.93

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Solution

The fourth proportional to 12,198.73, 16,828.07 and 7,714.93 is: 10,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.73 : 16,828.07 = 7,714.93 : x
  2. Step 2: Convert to fraction form
    12,198.73/16,828.07 = 7,714.93/x
  3. Step 3: Cross multiply
    12,198.73x = 16,828.07 × 7,714.93
  4. Step 4: Simplify right side
    12,198.73x = 129,827,343.51
  5. Step 5: Solve for x
    x = 129,827,343.51/12,198.73
  6. Step 6: Final answer
    x = 10,642.69

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1.5x scale

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.