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Finding the Fourth Proportional to 3,980.92, 5,959.50 and 3,284.32

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Solution

The fourth proportional to 3,980.92, 5,959.50 and 3,284.32 is: 4,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.92 : 5,959.50 = 3,284.32 : x
  2. Step 2: Convert to fraction form
    3,980.92/5,959.50 = 3,284.32/x
  3. Step 3: Cross multiply
    3,980.92x = 5,959.50 × 3,284.32
  4. Step 4: Simplify right side
    3,980.92x = 19,572,905.04
  5. Step 5: Solve for x
    x = 19,572,905.04/3,980.92
  6. Step 6: Final answer
    x = 4,916.68

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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.