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Finding the Fourth Proportional to 3,856.64, 5,784.96 and 1,259.76

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Solution

The fourth proportional to 3,856.64, 5,784.96 and 1,259.76 is: 1,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.64 : 5,784.96 = 1,259.76 : x
  2. Step 2: Convert to fraction form
    3,856.64/5,784.96 = 1,259.76/x
  3. Step 3: Cross multiply
    3,856.64x = 5,784.96 × 1,259.76
  4. Step 4: Simplify right side
    3,856.64x = 7,287,661.21
  5. Step 5: Solve for x
    x = 7,287,661.21/3,856.64
  6. Step 6: Final answer
    x = 1,889.64

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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.