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Finding the Fourth Proportional to 12,086, 16,677.24 and 7,051.28

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Solution

The fourth proportional to 12,086, 16,677.24 and 7,051.28 is: 9,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 16,677.24 = 7,051.28 : x
  2. Step 2: Convert to fraction form
    12,086/16,677.24 = 7,051.28/x
  3. Step 3: Cross multiply
    12,086x = 16,677.24 × 7,051.28
  4. Step 4: Simplify right side
    12,086x = 117,595,888.87
  5. Step 5: Solve for x
    x = 117,595,888.87/12,086
  6. Step 6: Final answer
    x = 9,729.93

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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.