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Finding the Fourth Proportional to 3,422.46, 5,133.72 and 957.45

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Solution

The fourth proportional to 3,422.46, 5,133.72 and 957.45 is: 1,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.46 : 5,133.72 = 957.45 : x
  2. Step 2: Convert to fraction form
    3,422.46/5,133.72 = 957.45/x
  3. Step 3: Cross multiply
    3,422.46x = 5,133.72 × 957.45
  4. Step 4: Simplify right side
    3,422.46x = 4,915,280.21
  5. Step 5: Solve for x
    x = 4,915,280.21/3,422.46
  6. Step 6: Final answer
    x = 1,436.18

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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.