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Finding the Fourth Proportional to 12,086, 16,678.74 and 7,053.71

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Solution

The fourth proportional to 12,086, 16,678.74 and 7,053.71 is: 9,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 16,678.74 = 7,053.71 : x
  2. Step 2: Convert to fraction form
    12,086/16,678.74 = 7,053.71/x
  3. Step 3: Cross multiply
    12,086x = 16,678.74 × 7,053.71
  4. Step 4: Simplify right side
    12,086x = 117,646,995.13
  5. Step 5: Solve for x
    x = 117,646,995.13/12,086
  6. Step 6: Final answer
    x = 9,734.15

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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.