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Finding the Fourth Proportional to 3,856.86, 5,782.86 and 1,664.46

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Solution

The fourth proportional to 3,856.86, 5,782.86 and 1,664.46 is: 2,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.86 : 5,782.86 = 1,664.46 : x
  2. Step 2: Convert to fraction form
    3,856.86/5,782.86 = 1,664.46/x
  3. Step 3: Cross multiply
    3,856.86x = 5,782.86 × 1,664.46
  4. Step 4: Simplify right side
    3,856.86x = 9,625,339.16
  5. Step 5: Solve for x
    x = 9,625,339.16/3,856.86
  6. Step 6: Final answer
    x = 2,495.64

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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.