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Finding the Fourth Proportional to 3,804.96, 5,707.36 and 1,207.68

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Solution

The fourth proportional to 3,804.96, 5,707.36 and 1,207.68 is: 1,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.96 : 5,707.36 = 1,207.68 : x
  2. Step 2: Convert to fraction form
    3,804.96/5,707.36 = 1,207.68/x
  3. Step 3: Cross multiply
    3,804.96x = 5,707.36 × 1,207.68
  4. Step 4: Simplify right side
    3,804.96x = 6,892,664.52
  5. Step 5: Solve for x
    x = 6,892,664.52/3,804.96
  6. Step 6: Final answer
    x = 1,811.49

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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.