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Finding the Fourth Proportional to 3,856.07, 5,784.51 and 1,259.48

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Solution

The fourth proportional to 3,856.07, 5,784.51 and 1,259.48 is: 1,889.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.07 : 5,784.51 = 1,259.48 : x
  2. Step 2: Convert to fraction form
    3,856.07/5,784.51 = 1,259.48/x
  3. Step 3: Cross multiply
    3,856.07x = 5,784.51 × 1,259.48
  4. Step 4: Simplify right side
    3,856.07x = 7,285,493.84
  5. Step 5: Solve for x
    x = 7,285,493.84/3,856.07
  6. Step 6: Final answer
    x = 1,889.36

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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.