Home / 10,729.77-16,083.72-9,783.90

Finding the Fourth Proportional to 10,729.77, 16,083.72 and 9,783.90

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Solution

The fourth proportional to 10,729.77, 16,083.72 and 9,783.90 is: 14,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.77 : 16,083.72 = 9,783.90 : x
  2. Step 2: Convert to fraction form
    10,729.77/16,083.72 = 9,783.90/x
  3. Step 3: Cross multiply
    10,729.77x = 16,083.72 × 9,783.90
  4. Step 4: Simplify right side
    10,729.77x = 157,361,508.11
  5. Step 5: Solve for x
    x = 157,361,508.11/10,729.77
  6. Step 6: Final answer
    x = 14,665.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.