Home / 7,784.72-11,682.70-3,102.02

Finding the Fourth Proportional to 7,784.72, 11,682.70 and 3,102.02

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Solution

The fourth proportional to 7,784.72, 11,682.70 and 3,102.02 is: 4,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.72 : 11,682.70 = 3,102.02 : x
  2. Step 2: Convert to fraction form
    7,784.72/11,682.70 = 3,102.02/x
  3. Step 3: Cross multiply
    7,784.72x = 11,682.70 × 3,102.02
  4. Step 4: Simplify right side
    7,784.72x = 36,239,969.05
  5. Step 5: Solve for x
    x = 36,239,969.05/7,784.72
  6. Step 6: Final answer
    x = 4,655.27

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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.