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Finding the Fourth Proportional to 3,278.16, 4,916.40 and 969.12

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Solution

The fourth proportional to 3,278.16, 4,916.40 and 969.12 is: 1,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.16 : 4,916.40 = 969.12 : x
  2. Step 2: Convert to fraction form
    3,278.16/4,916.40 = 969.12/x
  3. Step 3: Cross multiply
    3,278.16x = 4,916.40 × 969.12
  4. Step 4: Simplify right side
    3,278.16x = 4,764,581.57
  5. Step 5: Solve for x
    x = 4,764,581.57/3,278.16
  6. Step 6: Final answer
    x = 1,453.43

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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.