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Finding the Fourth Proportional to 2,858.64, 4,288.32 and 984.36

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Solution

The fourth proportional to 2,858.64, 4,288.32 and 984.36 is: 1,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.64 : 4,288.32 = 984.36 : x
  2. Step 2: Convert to fraction form
    2,858.64/4,288.32 = 984.36/x
  3. Step 3: Cross multiply
    2,858.64x = 4,288.32 × 984.36
  4. Step 4: Simplify right side
    2,858.64x = 4,221,250.68
  5. Step 5: Solve for x
    x = 4,221,250.68/2,858.64
  6. Step 6: Final answer
    x = 1,476.66

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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.