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Finding the Fourth Proportional to 3,259.76, 4,889.93 and 919.79

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Solution

The fourth proportional to 3,259.76, 4,889.93 and 919.79 is: 1,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,259.76 : 4,889.93 = 919.79 : x
  2. Step 2: Convert to fraction form
    3,259.76/4,889.93 = 919.79/x
  3. Step 3: Cross multiply
    3,259.76x = 4,889.93 × 919.79
  4. Step 4: Simplify right side
    3,259.76x = 4,497,686.56
  5. Step 5: Solve for x
    x = 4,497,686.56/3,259.76
  6. Step 6: Final answer
    x = 1,379.76

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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.