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Finding the Fourth Proportional to 3,284.92, 4,928.23 and 945.11

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Solution

The fourth proportional to 3,284.92, 4,928.23 and 945.11 is: 1,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.92 : 4,928.23 = 945.11 : x
  2. Step 2: Convert to fraction form
    3,284.92/4,928.23 = 945.11/x
  3. Step 3: Cross multiply
    3,284.92x = 4,928.23 × 945.11
  4. Step 4: Simplify right side
    3,284.92x = 4,657,708.08
  5. Step 5: Solve for x
    x = 4,657,708.08/3,284.92
  6. Step 6: Final answer
    x = 1,417.91

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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.