Home / 12,314.12-16,999.08-7,844

Finding the Fourth Proportional to 12,314.12, 16,999.08 and 7,844

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Solution

The fourth proportional to 12,314.12, 16,999.08 and 7,844 is: 10,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.12 : 16,999.08 = 7,844 : x
  2. Step 2: Convert to fraction form
    12,314.12/16,999.08 = 7,844/x
  3. Step 3: Cross multiply
    12,314.12x = 16,999.08 × 7,844
  4. Step 4: Simplify right side
    12,314.12x = 133,340,783.52
  5. Step 5: Solve for x
    x = 133,340,783.52/12,314.12
  6. Step 6: Final answer
    x = 10,828.28

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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.