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Finding the Fourth Proportional to 7,804.82, 11,707.23 and 3,187.82

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Solution

The fourth proportional to 7,804.82, 11,707.23 and 3,187.82 is: 4,781.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.82 : 11,707.23 = 3,187.82 : x
  2. Step 2: Convert to fraction form
    7,804.82/11,707.23 = 3,187.82/x
  3. Step 3: Cross multiply
    7,804.82x = 11,707.23 × 3,187.82
  4. Step 4: Simplify right side
    7,804.82x = 37,320,483.40
  5. Step 5: Solve for x
    x = 37,320,483.40/7,804.82
  6. Step 6: Final answer
    x = 4,781.73

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1.5x scale

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.