Home / 7,785.86-11,675.14-3,407.00

Finding the Fourth Proportional to 7,785.86, 11,675.14 and 3,407.00

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Solution

The fourth proportional to 7,785.86, 11,675.14 and 3,407.00 is: 5,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.86 : 11,675.14 = 3,407.00 : x
  2. Step 2: Convert to fraction form
    7,785.86/11,675.14 = 3,407.00/x
  3. Step 3: Cross multiply
    7,785.86x = 11,675.14 × 3,407.00
  4. Step 4: Simplify right side
    7,785.86x = 39,777,135.09
  5. Step 5: Solve for x
    x = 39,777,135.09/7,785.86
  6. Step 6: Final answer
    x = 5,108.90

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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.