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Finding the Fourth Proportional to 5,619.24, 7,761.42 and 3,856.68

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Solution

The fourth proportional to 5,619.24, 7,761.42 and 3,856.68 is: 5,326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.24 : 7,761.42 = 3,856.68 : x
  2. Step 2: Convert to fraction form
    5,619.24/7,761.42 = 3,856.68/x
  3. Step 3: Cross multiply
    5,619.24x = 7,761.42 × 3,856.68
  4. Step 4: Simplify right side
    5,619.24x = 29,933,313.29
  5. Step 5: Solve for x
    x = 29,933,313.29/5,619.24
  6. Step 6: Final answer
    x = 5,326.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.